'Though' in the Bible

Joshua summoned the Gibeonites and asked them, "Why did you deceive us by saying "We live far away from you,' even though you were, in fact, living in our midst?

but the hill country will also belong to you. Even though it's a forest, you will clear it and possess it to its farthest borders. You'll drive out the Canaanites, even though they have iron chariots and even though they're strong."