A girl that likes me - and i like has decided to stop dating anyone because shes afraid of hurting me or getting hurt. How can i convince her that love is worth it?

She = 19, me = 20, known each other for half a year.

Hi all, simply put we both like each other and we'd like to date each other.

But yesterday she let it all out and told me shes afraid to date because she doesn't want to hurt me and she doesn't want to get hurt. She says that shes given up on love and doesn't want to be with anyone ever again because "happiness never lasts".

How can i convince her that being in love is worth it?

Thanks all

Tldr: girl that likes me/i like doesnt want to love anyone anymore because shes afraid of sadness