'Nevertheless' in the Bible

Nevertheless Saul didn't say anything that day: for he thought, "Something has happened to him. He is not clean. Surely he is not clean."

Then Achish called David, and said to him, "As Yahweh lives, you have been upright, and your going out and your coming in with me in the army is good in my sight; for I have not found evil in you since the day of your coming to me to this day. Nevertheless, the lords don't favor you.