finish out

verb

1. To finish up, to complete, something previously started, particularly a time frame.

   “A former Spitfire pilot in the Royal Air Force who had been shot down over Germany and finished out the war in a POW camp.”

   “Don accepted the new job, and they decided to let Billy finish out the school year before he and Jan moved to their new home. Even though it was a hundred-mile drive one way, Jan and Billy were there for Don's first sermon in the new[…]”