The region returned to Polish sphere of influence in 1018, when Boleslaw I of Poland took the Cherven towns on his way to Kiev. Yaroslav I of Kiev reconquered the borderland in 1031, but was again ruled by Poland in 1069-1086; t remained part of Kievan Rus and its successor state of Halych-Volhynia until 1340 when it was once again taken over by Kingdom of Poland under Casimir III of Poland. It is presumed that most of the Lendians were assimilated by the East Slavs, with a small portion remaining tied to West Slavs and Poland. The most important factors contributing to their fate were linguistic and ethnic similarity, influence of Kievan Rus' and Orthodox Christianity, deportations to central Ukraine by Yaroslav I the Wise after 1031 and colonization of their lands by Ruthenians fleeing west during Mongol assaults on Ruthenia during reign of Danylo of Halych.