同学你好，该知识点来自沪江网校《英语零基础直达大学六级【年中特惠班】》的课程，想要更系统的学习，欢迎进入课程学习。不仅可以和更多的同学一起学习，而且还有老师、助教随时的学习指导和知识点解答哦。

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in the struggle, the strap broke and , with the bag in their possession, (这是伴随,做状语）both man started running through the trees.
在争斗中,带子破了, 包被他们抢走了。不能替换。如果要替换的话，要把这句句子重新修改成独立地句子。
例如：Both man struggled and the bag was possessed by them. They started running through the trees. Then they found that the strap was broken.

with表伴随的用法：
with+宾语+宾语补足语,构成with复合结构,宾语可以是名词或是代词,宾语补足语可以是介词短语、过去分词、现在分词、形容词、动词不定式、副词.且with后面的宾语与其后的宾语补足语有逻辑上的主谓关系.
如：with+宾语+形容词
He often sleeps with the windows open.他常开着窗睡觉.
Don’t speak with your mouth full.不要满嘴巴食物说话.
with+宾语+副词
He stood before his teacher with his head down.他低着头站在老师面前.
He was lying on the bed with all his clothes on.他和衣躺在床上.
希望对你有所帮助，祝学习愉快！