It's a good bet these cops were there because they live there. I don't know if there are any more recent numbers, but the ACLU did a study in the '90s that found over 80% of Los Angeles cops live outside the city, many as far as 60 miles away.
http://articles.latimes.com/1994-04-06/news/mn-42790_1_police-officers
2 off-duty LAPD officers arrested for allegedly pistol-whipping man in Whittier
January 27, 2010 | 8:37 am
Two off-duty Los Angeles Police Department officers have been arrested for allegedly pistol-whipping a man during a fight in Whittier, authorities said this morning.
One of the officers apparently got into an argument with his girlfriend about 8 p.m. Tuesday outside a Panera Bread restaurant in the 15600 block of Whittwood Lane, the Whittier Police Department said in a statement.
Witnesses told police the officer took issue with a bystander, who was watching the altercation while talking on his cellphone, and struck the man in the face. A fight ensued, during which one of the officers allegedly pulled out a handgun and began hitting the victim in the head, the statement said.
The victim was able to break free, but both off-duty officers chased after him and tackled him to the ground, where the assault continued, the statement said. The victim eventually escaped by running into a nearby Target store.
The victim was treated at the scene and taken to a hospital for further evaluation. The two officers were arrested for assault with a deadly weapon. They have been placed on paid administrative leave pending the outcome of the investigation, LAPD officials said.