Apple Music allows you to stream music from a library of over 30 million songs. Songs with explicit lyrics are marked with an “E” or “Explicit”. Due to how iOS implements Restrictions (meant for parental control), by default explicit songs are greyed out and not playable. This applies to music videos too. Here’s a quick fix.
Go to Settings > General. Tap on Restrictions and then tap the Enable Restrictions button to enable restriction.
Scroll down to bottom and look for Music, Podcasts & iTunes U and then turn on the switch for Explicit.
And that’s all. You need to enable restrictions in order to hear restricted songs. Now you’ll be able to listen to all the streaming content available on Apple Music.