Thaey are going for shoping is only correct because "they" only indicates living thing. because living thing will only go for shopping.
i am beginning a sentence :) right?
OK, "they're". But what about these:
There, going shopping, were Dick and Julian.
They were very apologetic about their going shopping and leaving the baby alone.
Context is all!
I think that they're going shooping is the correct answer
but I want to make sure that my answer is correct
it's very simply
They're going shopping
this is very easy