"Outside of the camp shall you send them": What is the intent of this (after "They shall send out of the camp")? From "They shall send out of the camp," I might think the intent is (only) that they not touch the ark or its bearers, but they should be assigned a place for themselves (inside the camp). It is, therefore, written "Outside of the camp shall you send them": "and they shall not make unclean their camps" — whence (i.e., from the three-fold repetition of "camp") they stated: There were three camps: the Israelite camp, the Levite camp, and the camp of the Shechinah.
From the entrance to Jerusalem until the Temple mount — the Israelite camp. From the entrance to the Temple mount until the azarah (the Temple courtyard) — the Levite camp. From the entrance to the azarah and inwards — the camp of the Shechinah. (Ibid. 3) "in whose midst I dwell": Beloved are Israel, who, even when they are tamei, the Shechinah is among them, as it is written (Vayikra 16:16) "who dwells with them in the midst of their uncleanliness," and (Bamidbar) 35:34) "And you shall not defile the land which you inhabit, in which I dwell, for I, the L-rd, dwell in the midst of the children of Israel (even when they are unclean)."