How to Earn a Girl's Trust Back After Lying

Apologize for lying to her. Make sure to be sincere when apologizing so she will believe you. Acknowledge that telling the lie was wrong.
Reveal every lie that was told and why it was told in order to start fresh. If everything is disclosed up front, the girl will not have to wonder what other issues may be untrue.
Disclose everything truthfully from now on and invite her to check up on you from time to time in order to prove that you are telling the truth.
Promise yourself and the girl that you will not lie again and stick to that promise. Prove to her that the lying has stopped so she can start trusting again.
Tell the girl that you don't expect her to trust again right away but that you are making the effort to stop lying. This will help her realize that you are serious about fixing the bad things that have happened.
Give her time to heal. Her feelings have been hurt, and it will take time for her to warm up to you again. Don't expect everything to go back to normal right away just because you've apologized.
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