Well, not all together "the more," but add one or two, and some peace you will have.
It is amazing how sometimes a playdate gives you a little bit of peace and quiet. At least at the age my kids are. Kids playing with kids (as long as no one is crying) means that kids are busy and occupied and mama can sit for a little while without having to occupy the kids herself. Yes, there will be a mess to clean up. But, overall, it's usually worth it.