Or HaChaim on Genesis 31:32/אור החיים על בראשית ל״א:ל״ב

1 לא יחיה, "he shall not live!" Jacob applied the legal yardsticks applicable to all Gentiles, i.e. the death penalty. Should you argue that there was no need to spell out the penalty seeing everybody knew what the penalty for stealing was, Jacob wanted to emphasise that he would not plead that he had received these תרפים as a gift or had simply forgotten to return them.