Do the gametimer run when you're idling at the menus?

Do the gametimer run when you’re idling at the menus?, checked my stats and it said I’ve been playing for almost 31 days.
It’s the game I play most, but don’t think I’m close to that number, the only thing is that I sometimes forget that the Xbox is turned on and that way it’s been idling at the menues several times.
Have I really played it that much or do the idle time count?

Yes it does.