'Though' in the Bible

He did not give any of it to him for an inheritance, not even a foot of ground, yet God promised to give it to him as his possession, and to his descendants after him, even though Abraham as yet had no child.

Though they found no basis for a death sentence, they asked Pilate to have him executed.

But Paul said to the police officers, "They had us beaten in public without a proper trial -- even though we are Roman citizens -- and they threw us in prison. And now they want to send us away secretly? Absolutely not! They themselves must come and escort us out!"

so that they would search for God and perhaps grope around for him and find him, though he is not far from each one of us.