To Jesus, judgment is when you “look at the speck of sawdust in another person’s eye.” He says STOP IT! Don’t do that! When you look at the speck you no longer see that person, you only see the speck. The speck is whatever issue or behavior you are judging about that person.
His remedy is to remove the plank in your own eye so you can see clearly to help them remove the speck from their eye. The plank in your eye is your judgment of that person. Your judgment is clouding you from seeing the person apart from the speck, you only see the problem. Remove your judgment and you will see clearly to help them.
Notice he doesn’t say to ignore the speck. Jesus wants you to address the speck, if you see someone caught in sin you are to help restore them. But if you only see their problem, it will blind you from helping them in a healthy way.
God is not holding our sins against us, we should not hold people’s sins against them either. Love keeps no record of wrong. Does that mean they get away with it? No way, they’ll reap what they sow, but you’re not the judge, jury, and punisher.