What does it mean that God does not remember our sins?

When the Bible states that God does not remember our sins, it conveys the totality and completeness of His forgiveness. As seen in Jeremiah 31:34, God promises to forgive iniquities and remember sins no more. This is not a mere selective forgetfulness; rather, it highlights His purpose to bear our sins no longer and to treat us as if we have not sinned at all. This truth gives believers great comfort as they navigate life with the assurance that their past transgressions are fully atoned for by Christ's sacrifice, emphasizing the finality of His redemptive work on the cross. Thus, for those in Christ, their relationship with God is not hindered by sin because it has been dealt with in full, allowing them to live in freedom and communion with Him.