这不是一个完整的句子,只是一个动名词结构.AFTER在这里是介词,后面的动词HAVE就成了HAVING（动名词）.这个结构应该订正,成为：even after having their grandchildren live with them for ten years.lived 应改成live.好吧,我给你一个完整的句子：They were still in love with each other even after having their grandchildren live with them for ten years.( (我尽力而为了,希望对你有用.)