Complex sentence: After taking the surrender of Damascus, the 3rd Light Horse Brigade moved north along the Homs road, their force engaging in virtually continual skirmishes throughout the day in short but severe engagements.
Split into simpler sentences: After taking the surrender of Damascus, the 3rd Light Horse Brigade moved north along the Homs road. They were involved in virtually continual skirmishes throughout the day, in short but severe engagements.