King County accepting applications for rental assistance before eviction moratorium expires One-third of people behind on their rent are believed to live in King County, which is working up against a deadline to keep people housed. Author: Kalie Greenberg Updated: 10:56 PM PDT May 19, 2021 SEATTLE — In six weeks Washington state's eviction moratorium is set to expire and experts say they expect to see people evicted, not because there isn't money for rental help, but because help can't get to people in time. Governor Inslee's statewide eviction moratorium has been in place for more than a year and is scheduled to expire on June 30th.