'Thus' in the Bible

if he has found something that had been lost and then lied about it, or if he makes a false oath about any of these things, thus committing a sin with respect to these things.

So Moses slaughtered it, took the blood, and applied some of it at the horns of the altar and around it with his fingers, thus purifying the altar. Then he poured the blood at the base of the altar, thereby sanctifying it as a means to make atonement with it.

Then he is to place the rest of the oil in his palm on the head of the person to be cleansed, thus making atonement for him in the LORD's presence.

"Aaron is then to bring the bull for a sin offering for himself, thus making atonement for himself and his household. He is to slaughter the ox for himself.

Aaron is to lay his two hands upon the head of the male goat and confess over it the sins of Israel, all their transgressions, and all their sins, thus placing them on the head of the male goat that he'll then send out to the wilderness by the hand of a man capable of carrying out this task.