In the sentence you suggest, it would be correct if you add a 'vous'.
Tes amis et toi, vous jouez au football?
In 'toi et tes amis jouent au football' the subject becomes multiple persons and the 'toi' is lost among them as it is at the beginning of the sentence.
Hope this helps!
Yes, I would have thought so, too. Why do you think this is wrong?
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