'Though' in the Bible

Though Edom says: “We have been devastated, but we will rebuild the ruins,” the Lord of Hosts says this: “They may build, but I will demolish. They will be called a wicked country and the people the Lord has cursed forever.

May the LORD exclude from the community of Jacob any man who does this, whoever he may be, even though he brings offerings to the LORD of the Heavenly Armies.

Yet you ask, “For what reason?” Because the Lord has been a witness between you and the wife of your youth. You have acted treacherously against her, though she was your marriage partner and your wife by covenant.