By the way, there isn't anything inherently damaging about in-ear phones. Playing over-the-ear phones too loud will damage your hearing just as fast. The problem is that standard earbuds don't block any outside noise, so people end up cranking them to make up for that - but that's also true for open-style over-the-ear headphones.
Closed headphones like you're asking about help block outside noise so you can hear the music better at lower volumes, but so do in-ear phones that seal into the ear canal. Not everyone digs in-ear phones, and I don't actually recommend any of the cheaper in-ears I've tried, so maybe it was strictly necessary for me to bring up.