'Appeal' in the Bible

At the end of the seven years, the woman returned from the territory of the Philistines and went to the king in order to file an appeal regarding her house and her grain field.

Even if I'm in the right, I cannot answer him. I can only appeal for mercy.

Pay attention to my prayer, God, and do not hide yourself from my appeal.

When a man is thwarted in his appeal, does the Lord condone it?