וּֽלֲהַבְדִּ֔יל בֵּ֥ין הַקֹּ֖דֶשׁ וּבֵ֣ין הַחֹ֑ל וּבֵ֥ין הַטָּמֵ֖א וּבֵ֥ין הַטָּהֽוֹר׃
И чтобы вы могли различить между святым и обычным, и между нечистым и чистым;
Rashi
ולהבדיל AND TO DISTINGUISH [BETWEEN THE HOLY AND THE UNHOLY] — i. e., Observe this law in order that ye may be able to distinguish between a holy (valid) sacrificial act and one which has become profane (invalid). Thus you may learn that if one performed a sacrificial rite in a state of intoxication his ministry was invalid (Sifra, Shemini, Section 1 8; Zevachim 17b).
Ibn Ezra
ritually impure and ritually pure including beasts and water-creatures and birds. Accordingly, the section beginning with “these are the animals…” [11:2] immediately follows; and it in turn is followed by various other types of ritual impurity: a new mother [12:2]; ṣara‘at of man [13:2] or clothes [13:47] or houses [14:34]; a man who has had a seminal emission [15:16]; a man [15:2] or woman [15:25] who has a continual discharge; and a menstruant [15:19] — all this is meant here by “distinguish between ritually pure and ritually impure”.
Rashbam
ולהבדיל ולהורות, as our sages said that a judge or teacher in state of intoxication must not issue any halachic rulings. (Eyruvin 64).