There has been no shortage of podcasts on the shocking case of the Long Island serial killer, but Alexis Linkletter’s Unraveled always told a slightly different story. She focused on the Suffolk County Police Department, arguing that corruption at the highest level was an unavoidable piece of the puzzle. Two years since her last episode and with “prime suspect” Rex Heuermann now charged with the murders of the “Gilgo Four,” Linkletter reopens her own investigation. She starts by speaking with a forensic-DNA expert, one of the victim’s sisters, and the suspect’s Massapequa Park neighbors. The key elements of the case—mitochondrial-DNA evidence, cell-phone data, and law-enforcement blunders—are revealed, and Linkletter returns to her original question: Why did it take more than a decade to find the killer? (spotify.com) —Paulina Prosnitz

It’s well established that shopping vintage and secondhand is significantly better for the economy than its alternatives, but the infinite pages on cluttered sites such as the RealReal tend to make the process onerous. Dora Maar, on the other hand, approaches the concept like a dinner-party guest list: curated. The resale site offers vintage and contemporary designer clothing, accessories, and housewares drawn exclusively from a collection of verified fashion It Girls, including Leandra Medine Cohen and designer Nikki Kule. Dora Maar’s selective process and luxury-filled “closets” are sure to decrease your scrolling time significantly. (dora-maar.com) —Lucy Horowitz

Anyone who has been forced to spend time with me on Zoom lately (sorry) knows that, in August, the only beauty products on my face are mineral sunscreen and Kosasport LipFuel Hyaluronic Acid Lip Balm. Pause to admire the adorable packaging, and then move on to the substance, because this stick seriously delivers. It’s infused with skin-care ingredients (the previously mentioned acid along with konjac root) that nourish and protect the lips while also, over the course of a few weeks, make them appear noticeably fuller and more hydrated. The mild scent of peppermint oil is yet another pleasing effect, and the sheer-ish color is just right for an afternoon on the beach, on an airplane, or even in the office. The spicy Pulse shade is my hot-weather favorite, but for fall I’ll be moving on to Warm Beige. ($18, sephora.com) —Ashley Baker

Even those who have been spending their summers in the waters off West Chop since the 60s would probably admit that Martha’s Vineyard only reveals itself over time. Happily, a new book is here to make sense of the people and places that make this island so special. Vineyard Folk, by Tamara Weiss and Amanda Benchley, celebrates the painters, writers, actors, and musicians (including jewelry designer Tiffany Vanderhoop, director and writer Julie Taymor, and potter Micah Thanhauser) who bring Martha’s Vineyard to life and immortalize it in their work. Weiss and Benchley also explore the whaling industry, the historic Black community of Oak Bluffs, and the island’s origin as Noepe, as it was originally named by the Wampanoag people. ($50, amazon.com) —Ashley Baker

James Inhofe, a Republican senator for Oklahoma for three decades, is perhaps best known for bringing a snowball to the Senate floor in 2015 to prove that climate change is a hoax. His grandchildren are perhaps best known for building an igloo on the National Mall with a sign that read: AL GORE’S New HOME. In his new book, The Parrot and the Igloo, David Lipsky tells the story of how climate-change denial went mainstream, tracing Inhofe’s grandkids’ obnoxious stunt all the way back to the technological innovations of Thomas Edison, George Westinghouse, and Nikola Tesla. Lipsky makes thinking about the planet’s impending doom not just palatable but entertaining, introducing a parade of villains who see dollar signs in rising temperatures. ($32.50, amazon.com) —Jensen Davis

Why isn’t there a Second Wives Club? Tasha, the heroine of a new British thriller, The Ex-Wife, could certainly use some support from other young women married to wealthy older men with intrusive first wives. Instead, after a whirlwind romance with a handsome media mogul named Jack, Tasha finds herself all alone with a new baby in a big, empty house. Her main distraction is Jack’s ex-wife, Jen, a glamorous decorator who seems to be remarkably close to Jack and his family, and keeps showing up. The Ex-Wife has hints of Daphne du Maurier’s Rebecca, but not in the way you’d think. This gripping four-episode series on Britbox has twists all its own. (britbox.com) —Alessandra Stanley