In the struggle,the strap broke and,with the bag in their possion, both men started running

In the struggle,the strap broke and,with the bag in their possion, both men started running

这里是两句话，中间用and 连接，构成并列复合句。
第一分句 In the struggle,the strap broke ，意思是：在挣扎中，带子断了。在这分句中，broke是break的过去形式。
第二分句 and,with the bag in their possession, both men started running through the trees
意思是：两个男人（只）带着袋子，开始跑过树林。
句中started是谓语，意思是开始（做某事)，start 一般后面接动名词（如本例中的unning）做直接宾语。

broke 是谓语动词的 break的过去式
本句是个并列句 由 and 连接
主句是 the strap broke and both men started running
本句的两个动词分别是 broke 和 started
start doing 表示一种长期的运动

broke 和 started 是and并列的两个句子的谓语，start doing 是固定的

地点状语 In the struggle, 主语the strap 谓语 broke 连词and, 方式状语with the bag in their possion, 主语both men 谓语 started 宾语running through the trees