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“Not long.”

“How long would not long be?”

She shrugged, which involved a fractional lift of her right shoulder. “A year?” She made it a question. “Let me see. It was summer when we met. August, maybe.”

“Where was that? That you met, I mean.”

“The Cahuilla Club. Do you know it? It’s in the Palisades. Polo grounds, swimming pools, lots of bright, shiny people. The kind of place that wouldn’t let a shamus like you put his foot inside the electronically controlled gates.” That last bit she didn’t say, but I heard it all the same.

“Your husband know about him? About you and Peterson?”

“I really can’t say.”

“Can’t, or won’t?”

“Can’t.” She glanced down at the cream gloves where she had draped them across her lap. “Mr. Cavendish and I have — what shall I say? An arrangement.”

“Which is?”

“You’re being disingenuous, Mr. Marlowe. I’m sure you know very well the kind of arrangement I mean. My husband likes polo ponies and cocktail waitresses, not necessarily in that order.”

“And you?”

“I like many things. Music, mainly. Mr. Cavendish has two reactions to music, depending on mood and state of sobriety. Either it makes him sick or it makes him laugh. He does not have a melodious laugh.”

I got up from the desk and took my pipe to the window and stood looking out at nothing in particular. In an office across the street, a secretary in a tartan blouse and wearing earphones from a Dictaphone machine was bent over her typewriter, tapping away. I had passed her in the street a few times. Nice little face, shy smile; the kind of girl who lives with her mother and cooks meat loaf for Sunday lunch. This is a lonely town.

“When’s the last time you saw Mr. Peterson?” I asked, still watching Miss Remington at her work. There was silence behind me, and I turned. Obviously, Mrs. Cavendish was not prepared to address herself to anyone’s back. “Don’t mind me,” I said. “I stand at this window a lot, contemplating the world and its ways.”

I came back and sat down again. I put my pipe in the ashtray and clasped my hands together and propped my chin on a couple of knuckles to show her how attentive I could be. She decided to accept this earnest demonstration of my full and unwavering concentration. She said, “I told you when I saw him last — about a month ago.”

“Where was that?”

“At the Cahuilla, as it happens. A Sunday afternoon. My husband was engaged in a particularly strenuous chukker. That’s a—”

“A round in polo. Yes, I know.”

She leaned forward and dropped a few flakes of cigarette ash beside the bowl of my pipe. A faint waft of her perfume came across the desk. It smelled like Chanel No. 5, but then, to me all perfumes smell like Chanel No. 5, or did up to then.

“Did Mr. Peterson give any indication that he was about to decamp?” I asked.

“Decamp? That’s an odd word to use.”

“It seemed less dramatic than disappeared, which was your word.”

She smiled and gave a dry little nod, conceding the point. “He was much as usual,” she said. “A little bit more distracted, perhaps, a little nervous, even — though maybe it only seems that way in hindsight.” I liked the way she talked; it made me think of the ivy-covered walls of venerable colleges, and trust fund details written out on parchment in a copperplate hand. “He certainly didn’t give any strong indication that he was about to”—she smiled again—“decamp.”

I thought for a bit, and let her see me thinking. “Tell me,” I said, “when did you realize he was gone? I mean, when did you decide he had”—now it was my turn to smile—“disappeared?”

“I telephoned him a number of times and got no answer. Then I called at his house. The milk hadn’t been canceled and the newspapers had been piling up on his porch. It wasn’t like him to leave things like that. He was careful, in some ways.”

“Did you go to the police?”

Her eyes widened. “The police?” she said, and I thought she might laugh. “That wouldn’t have done at all. Nico was rather shy of the police, and he would not have thanked me for putting them onto him.”

“Shy in what way?” I asked. “Did he have things to hide?”

“Haven’t we all, Mr. Marlowe?” Again she dilated those lovely lids.

“Depends.”

“On what?”

“On many things.”

This was going nowhere, in ever-increasing circles. “Let me ask you, Mrs. Cavendish,” I said, “what do you think has become of Mr. Peterson?”

Once more she did her infinitesimal shrug. “I don’t know what to think. That’s why I’ve come to you.”

I nodded — sagely, I hoped — then took up my pipe and did some business with it, tamping the dottle, and so on. A tobacco pipe is a very handy prop, when you want to seem thoughtful and wise. “May I ask,” I asked, “why you waited so long before coming to me?”

“Was it a long time? I kept thinking I’d hear from him, that the phone would ring one day and he’d be calling from Mexico or somewhere.”

“Why would he be in Mexico?”

“France, then, the Côte d’Azur. Or somewhere more exotic — Moscow, maybe, Shanghai, I don’t know. Nico liked to travel. It fed his restlessness.” She sat forward a little, showing the faintest trace of impatience. “Will you take the case, Mr. Marlowe?”

“I’ll do what I can,” I said. “But let’s not call it a case, not just yet.”

“What are your terms?”

“The usual.”

“I can’t say I know what the usual is likely to be.”

I hadn’t really thought she would. “A hundred dollars deposit and twenty-five a day plus expenses while I’m making my inquiries.”

“How long will they take, your inquiries?”

“That too depends.”

She was silent for a moment, and again her eyes took on that appraising look, making me squirm a little. “You haven’t asked me anything about myself,” she said.

“I was working my way around to it.”

“Well, let me save you some work. My maiden name is Langrishe. Have you heard of Langrishe Fragrances, Inc.?”

“Of course,” I said. “The perfume company.”

“Dorothea Langrishe is my mother. She was a widow when she came over from Ireland, bringing me with her, and founded the business here in Los Angeles. If you’ve heard of her, then you know how successful she has been. I work for her — or with her, as she’d prefer to say. The result is that I’m quite rich. I want you to find Nico Peterson for me. He’s a poor thing but mine own. I’ll pay you whatever you ask.”

I considered poking at my pipe again but thought it would seem a little obvious the second time around. Instead I gave her a level look, making my eyes go blank. “As I said, Mrs. Cavendish — a hundred down and twenty-five a day, plus expenses. The way I work, every case is a special case.”

She smiled, pursing her lips. “I thought you weren’t going to call it a case, as yet.”

I decided to let her have that one. I pulled open a drawer and brought out a standard contract and pushed it across the desk to her with the tip of one finger. “Take that with you, read it, and if you agree with the terms, sign it and get it back to me. In the meantime, give me Mr. Peterson’s address and phone number. Also anything else you think might be useful to me.”

She gazed at the contract for a moment, as if she were deciding whether to take it or throw it in my face. In the end she picked it up, folded it carefully, and put it in her purse. “He has a place in West Hollywood, off Bay City Boulevard,” she said. She opened her purse again and took out a small leather-bound notebook and a slim gold pencil. She wrote in the notebook briefly, then tore out the page and handed it to me. “Napier Street,” she said. “Keep a sharp eye out or you’ll miss it. Nico prefers secluded spots.”