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Kershaw put together a quality start for the Boys in Blue, striking out 10 and allowing just one earned run.
The free agent, who last played for the Seattle Seahawks, was arrested possession of a concealed firearm.
Los Angeles dropped to 1-7 on a nine-game trip and at 38-48 is a season-worst 10 games under .500.
Catcher Will Smith's game-winning single in the 10th inning led the Dodgers to their eighth straight win.
José Cifuentes put LAFC back ahead in the 70th minute with another header off an excellent cross from Carlos Vela.
Raisel Iglesias surrendered three earned runs in the bottom of the ninth inning to erase a 4-2 Angels lead.
Los Angeles Sparks All-Star Nneka Ogwumike wants the U.S. government to do more to bring Griner back home from Russia.
Trout earns his 10th selection to the midsummer classic that returns to Dodger Stadium for first time since 1980.
Gonsolin is the first Dodgers pitcher to start a season 11-0 since Alex Wood in 2017.
The Sparks closed out a rocky first half of the season on Thursday evening.
The Angels fell to 1-5 on their nine-game trip.
Brito is best known for discovering former Dodgers pitcher and Cy Young Award winner Fernando Valenzuela.
If convicted on drug smuggling charges, Griner could face 10 years in a Russian prison.
Cody Bellinger scored the winning run on Mookie Betts' infield single with the bases loaded in the ninth inning, and the Los Angeles Dodgers edged the Colorado Rockies 2-1 on Wednesday night to complete a three-game sweep.
Shohei Ohtani allowed one unearned run in seven dominant innings and had the go-ahead hit in the Los Angeles Angels' 5-2 victory over the Miami Marlins on Wednesday night.