You only see them if they’re high up enough to be in sunlight. (This is true no matter what: satellites don’t emit their own significant light, they’re reflecting the sun’s.)

The later it gets, the higher the satellite would have to be to still be in the sun. The vast, vast majority of them are low enough that this is not significantly long after sunset. The rest are so high up that you won’t really see them anyway (and don’t move significantly fast across the sky, because orbit is slower the higher you go.)

You essentially don’t see satellites at all in the middle of the night.