Or HaChaim on Deuteronomy 29:28/אור החיים על דברים כ״ט:כ״ח

1 הנסתרות לה׳ אלוקינו, והנגלות לנו, "The hidden sins are G'd's business, but the visible ones (are our business to deal with)." We have to understand this verse as the response by the Jewish people to Moses that he cannot hold them responsible for sins committed by fellow Jews in private. However, they accept the responsibility to try and stop sins being committed in public. לנו ולבנינו עד עולם, "for us and our children forever." This is the official acceptance by the Israelites of the oath Moses wanted them to swear.