'Though' in the Bible

Next to them the Tekoites worked valiantly, even though their leading officials weren't fully dedicated to the work of their lord.

When Sanballat, Tobiah, Geshem the Arab, and the rest of our enemies heard that I had completed the wall and that no break remained in it (even though by that time I hadn't yet installed the doors in the gates),

Even though the city was large and spread out, not many people were living there and not many houses had been built.

because they did not greet the Israelis with food and water, but instead hired Balaam to oppose them by cursing them, even though our God turned the curse into a blessing.

Didn't Solomon, king of Israel, sin by doing these things, even though among many nations there was no king like him who was loved by his God, and God made him king over all Israel? Even so, foreign women caused him to sin.