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LOS ANGELES – Lucy and Ethel. Laverne and Shirley. Poehler and Fey. And now … Jennifer and Amy?

On Wednesday, Jennifer Lawrence met with a reporter here to discuss her final turn as Katniss Everdeen in “The Hunger Games: Mockingjay – Part 2,” arriving in theaters on Nov. 20. But the conversation inevitably turned to more casual subjects, and Ms. Lawrence casually broke some news: She is writing a comedic screenplay with Amy Schumer (“Trainwreck”) and the women plan to co-star in it.

“We play sisters,” Ms. Lawrence said. “We’re almost done writing. It just flowed out of us. We’ve got about 100 pages right now.”

She continued, “Amy and I were creatively made for each other. We have different flavors. It’s been the most fun experience of my life. We start the day off on the phone, laughing. And then we send each other pages. And we crack up. I’m flying out tomorrow to see her in Chicago. We’ll write a little bit with her sister, Kim, who worked with Amy when she was writing ‘Trainwreck.’”

Ms. Lawrence said that she only met Ms. Schumer a couple of months ago.

“I emailed her after I saw ‘Trainwreck’ and said, ‘I don’t know where to get started. I guess I should just say it: I’m in love with you,’” she recalled. “We started emailing, and then emailing turned to texting.”

In early August, Ms. Schumer invited her new friend to go jet skiing and the resulting photos lit up the Internet. “We really hit it off, to say the least,” Ms. Lawrence said.

She picked up her phone. “Let me just text Amy and tell her that I told you,” she said, beginning to type. Ms. Schumer responded immediately. Ms. Lawrence glanced at the message, and threw her head back in laughter.

“I wrote, ‘I just spilled the beans to The New York Times. Is that O.K.?’” she said. “And Amy wrote back, ‘That you’re gay? Totally! It’s exciting!’”