Charles Ellicott Commentary Ezekiel 46:9

"But when the people of the land shall come before Jehovah in the appointed feasts, he that entereth by the way of the north gate to worship shall go forth by the way of the south gate; and he that entereth by the way of the south gate shall go forth by the way of the north gate: he shall not return by the way of the gate whereby he came in, but shall go forth straight before him." — Ezekiel 46:9 (ASV)

In the solemn feasts.— Different arrangements were required for the great or “solemn” feasts, because at these all the males of Israel were commanded to be present, and therefore the numbers were very large. This affects both the people and (Ezekiel 46:10) the prince. The first provision is one for securing order in the vast concourse of people: by whichever (outer) gate anyone enters (the north or the south), he must pass out by the opposite one.