Complex sentence: Soon after, Vatatzes defeated a loyalist army under a certain Aplesphares, and had one of his daughters marry Suleuman, the Emir of Karasi, one of Kantakouzenos's Turkish allies.
Split into simpler sentences: Soon after, Vatatzes defeated a loyalist army under a certain Aplesphares. One of his daughters married Suleyman, the Emir of Karasi, one of Kantakouzenos's Turkish allies.