这个句子是个倒装句,把with结构提前,后面句子完全倒装.
我把原句给你看就懂了,同时给你断句.
The negative impacts / they have on families and society / come with the invasion of international fast-food chains.
they have on families and society 是修饰impacts的从句.主句就是
The negative impacts come with the invasion of international fast-food chains.