Complex sentence: Algren is housed with Katsumoto's sister Taka and her family; she initially dislikes him, but after Algren learns it was her husband (the samurai that was going to execute him) he killed in combat, he apologizes and the two grow closer.
Split into simpler sentences: Algren is housed with Katsumoto's sister Taka and her family; she initially dislikes him. After Algren learns it was her husband (the samurai that was going to execute him) he killed in combat, he apologizes and the two grow closer.