I asked myself, "Is it possible to 'forgive and forget'? Is that what God does with our sin? What is a biblical view of repentance?"
I found this great article in the archives of Credenda Agenda that addressed these very questions, asking:
How many of these cultural errors (like 'forgive and forget') have crept into the working theology of the church?
Here's an excerpt from the article:
When you forgive, are you obligated to forget the sin? This is a misconception about Scripture. We see this by understanding, again, God's forgiveness toward us. At this point, some may object, using verses like Jeremiah 31:34 "...saith the LORD: for I will forgive their iniquity, and I will remember their sin no more." Did God forget their sin? No. That's not what it said.