מדרש אויף דברים 12:22

(Ibid. 12:15) "the unclean one may eat of it": This tells me only that the unclean one may eat of it (of disqualified offerings that have been redeemed). Whence do I derive that the clean one (may eat of it)? From "the unclean one and the clean one may eat of it": Scripture hereby apprises us that they both may eat of it from the same dish.

This tells me only of the unclean one. Whence do I derive (the same for) the clean one? From "the unclean one and the clean one." "together may eat it" We are hereby apprised that both of them may eat it from one dish. I might think that terumah, too, may be eaten from the same dish; it is, therefore, written "may eat it (chullin)." This may be eaten from the same dish, but not terumah.

If so, (why not say) just as all of hart (including its fats) is permitted, so, all of chullin! It is, therefore written "Only as the deer and the hart are to be eaten" (to exclude fats and blood [in chullin], which are not to be eaten.)