how do i keep my hope alive?

[pearlharbr]

if i'm not supposed to believe things he is saying, should i also not believe it when he says he loves me or he misses me?

Yes, that's exactly right. If he loves you then he will show it through his actions over time. You only believe it when you see it consistently.

Example from my life: BF said he wanted another chance to work on us. Not good enough. He sent emails, left letters at the house. After about a month of this I told him I would only think about discussing anything with him if he ended all contact with OW. He says he has done this. I show up unannounced at his bowling night and walk in on him standing next to OW. Lesson learned. Believe nothing they say and only half of what they do.

Keep doing what works and stop doing what doesn't work. Mind reading doesn't work. Having expectations based on what H says doesn't work. GAL and detachment works.