Is 'forgive and forget' a biblical concept?

TL;DR:

The Bible does not use the phrase "forgive and forget." God forgives sinners and points to believers’ responsibility to likewise forgive others.

The Bible never commands believers to “forgive and forget,” yet it powerfully calls us to forgive as God has forgiven us. The Bible presents God as the epitome of forgiveness, using the language of forgetting to emphasize how completely God forgives us (Isaiah 43:25; Psalm 103:12). Forgetting does not suggest erased memory but emphasizing that God does not hold sin against those who trust in Him. Believers are likewise called to forgive because God forgave us (Matthew 6:12; Ephesians 4:30-32; Colossians 3:12-13). Unwillingness to forgive someone hinders fellowship with God (Ephesians 4:30-32). At the same time, biblical forgiveness does not require denying wisdom, ignoring harm, or restoring trust where repentance is absent; rather, forgiveness is a deliberate choice to release the debt while walking in discernment. Forgiveness is not forgetting; still, it means choosing not to hold the offense against the offender, refusing bitterness and revenge, and entrusting justice to God. Forgiveness reflects the heart of the gospel: we remember the cost of our sin and extend to others the same mercy we have received in Christ.

from the old testament

Through the prophet Isaiah, God describes Himself as, “I, I am he who blots out your transgressions for my own sake, and I will not remember your sins” (Isaiah 43:25). God doesn’t literally lose His memory, but He forgives us to the extent that when we confess our sins and repent of them, He won’t hold our sins against us.
David spoke of God’s abundant mercy: “as far as the east is from the west, so far does he remove our transgressions from us” (Psalm 103:12).

from the new testament

Part of the Lord’s Prayer is asking God to “forgive us our debts, as we also have forgiven our debtors” (Matthew 6:12). God expects us to emulate Him by forgiving others, which means not holding a grudge.
In fact, not forgiving others hinders our relationship with God. Paul ties lack of forgiveness with grieving the Holy Spirit: “And do not grieve the Holy Spirit of God, by whom you were sealed for the day of redemption. Let all bitterness and wrath and anger and clamor and slander be put away from you, along with all malice. Be kind to one another, tenderhearted, forgiving one another, as God in Christ forgave you” (Ephesians 4:30-32)..
Showing forgiveness to others demonstrates growth toward spiritual maturity. Believers are “God’s chosen ones,” so we “must forgive” (Colossians 3:12-13).
Forgiveness is exemplified by Jesus’ death on the cross. Paul wrote about this to the Corinthians: “For our sake he made him to be sin who knew no sin, so that in him we might become the righteousness of God” (2 Corinthians 5:21)

implications for today

Forgiving others who have sinned against us is a sign of spiritual maturity. We cannot simply decide to "forget" sins or erase them from our memory. In fact, in some cases it would be unwise or unsafe to do so. Instead, when we forgive someone who has sinned against us, we choose to no longer hold the sin against them. We do not hold a grudge or seek revenge.

This doesn’t mean that we must continue a relationship with the person who sinned against us. In fact, in some cases, we may need to no longer associate with a person or use precautions for safety reasons. We can choose to forgive while also not foolishly restoring trust to an unrepentant sinner.

Forgiving others also allows us to move forward in our own life. When we forgive, we do not "forget" the sin, but we choose not to focus on past sin. Instead, we give the hurt to God and press ahead to live His calling for our lives, choosing to live for His glory. When we forgive others, we point others to Christ and offer them the freedom we have experienced from Christ’s forgiveness.

understand

Christians have received complete forgiveness from God and are called to extend forgiveness to others.
Forgiving does not mean forgetting as in erasing what has been done.
Being willing to forgive is a sign of spiritual maturity and a hallmark of a child of God.

reflect

What helps you forgive those who have wronged you?
How does reflecting on what Christ did for you help you to forgive others?
When it is difficult to forgive someone, what helps you overcome it?

engage

What is the difference between forgiving and forgetting?
How can we balance wisdom and discernment in forgiving others?
How can forgiveness be a powerful evangelism message to the world?