'Separated' in the Bible

I will not punish your daughters when they commit whoredom, nor your spouses when they commit adultery: for themselves are separated with whores, and they sacrifice with harlots: therefore the people that doth not understand shall fall.

I found Israel like grapes in the wilderness; I saw your fathers as the firstripe in the fig tree at her first time: but they went to Baalpeor, and separated themselves unto that shame; and their abominations were according as they loved.