texts from ex

my ex cheated on me & although we broke up, he still messages me for my birthday / holidays & I just don’t understand why exes try to slide their way back in & ruin the entire moving on process. My mind just goes back to the past and eats me alive. I still love him and miss him terribly & want to wish him for the holidays too but he cheated (physically by making out and grinding with girls one night at a college party). I step my foot down bc I have a lot of pride not to message him, but it eats me alive bc I miss him so much. I’m stuck and I don’t know what to do.. please help