'Though' in the Bible

For he has come out of prison to become king, even though he was born poor in his kingdom.

When I gave my heart to know wisdom and to see the task which has been done on the earth (even though one should never sleep day or night),

and I saw every work of God, I concluded that man cannot discover the work which has been done under the sun. Even though man should seek laboriously, he will not discover; and though the wise man should say, “I know,” he cannot discover.