Then we arrive at the prophecy about the New covenant (Jer. 31:31-34). The verses are immediately followed by a Divine guarantee of future fulfillment (Jer. 31:35-37). So it behooves us to look at it carefully:
Behold, the days are coming, says the LORD, when I will make a new covenant with the house of Israel and with the house of Judah–not according to the covenant that I made with their fathers in the day that I took them by the hand to lead them out of the land of Egypt, My covenant which they broke, though I was a husband to them, says the LORD.
But this is the covenant that I will make with the house of Israel after those days, says the LORD: I will put My law in their minds, and write it on their hearts; and I will be their God, and they shall be My people.
No more shall every man teach his neighbor, and every man his brother, saying, `Know the LORD,’ for they all shall know Me, from the least of them to the greatest of them, says the LORD. For I will forgive their iniquity, and their sin I will remember no more.” (Jeremiah 31:31-34)