How do I convince my girlfriend to stop being jealous?

Joner
My girlfriend is jealous because she thinks I would start chasing for a girl we both know and I had ones a date with long before I started dating my girlfriend. On the date I realized I'm not interested so I let it be. Well, she doesn't believe me and she wants me to tell her the truth but she doesn't believe me when I do. I have told her that I love her (which I am sure about and I really do love her) but she doesn't believe me. So have could I proof it? Please help me
How do I convince my girlfriend to stop being jealous?
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