To escape or get away safely from an enemy or danger; to flee and survive.
戦火を避けて多くの人々が近郊へ落ち延びた。
Many people fled to the suburbs to escape the ravages of war.
夜陰に紛れて城を抜け出し、何とか落ち延びることができた。
Under cover of night they slipped out of the castle and somehow managed to escape.
台風で孤立したが、翌朝には全員が落ち延びたと聞いた。
Although isolated by the typhoon, I heard everyone had managed to get away by morning.