John Gill Commentary Leviticus 22:32

"And ye shall not profane my holy name; but I will be hallowed among the children of Israel: I am Jehovah who halloweth you," — Leviticus 22:32 (ASV)

Neither shall you profane my holy name
By transgressing the laws of God, particularly by offering blemished sacrifices, or before the proper tithe; or by slaying the dam and its young on one day; for, as Aben Ezra observes, this is said to the sons of Aaron: but I will be hallowed among the children of Israel ;
by his priests among them, and by themselves, conforming to all the precepts, and particularly the last mentioned, which respects them, and their eating up the peace offerings the same day: I [am] the Lord which hallowed you ;
had separated them from all other people, and had given them holy laws to walk by, through the observance of which they would be at least externally holy.