Purchased album on itunes will not show?

I have recently bought about 5 albums on iTunes and they have come up on my iPhone but not in my iTunes library on my laptop also when I go to the iTunes store and in purchased and find the albums it says 'purchased' - help.

Go to store button and click check for downloads. If you bought them on your phone you still have to download them to your computer. Or you can connect you phone to the computer and let it transfer purchases to the computer. Also you have to have authorized the computer.

  • Why doesn't iTunes let me download a purchased album? Okay, so on iPhone on iTunes I recently bought an album and it wasn't downloading so I decided to delete it from my music in music app. After deleting it I went to the iTunes app and went to purchases to redownload the album only to find that the album wasn't there. I looked up said album on the store and it says that I purchased it, so I have no way of downloading it again. How can I fix this?
  • Why doesn't album cover show up on iPhone? The album cover shows up on my computer and not on my iPhone. When I sync my iPhone, i go to the music tab and click the song, and the album cover shows up on the bottom left corner. I don't know why it doesn't show up on my phone. I paid for the songs on iTunes and not pirated.
  • Why does itunes keep trying to replace the album artwork I used that is the right album artwork? Itunes keeps replacing the right artwork with the wrong artwork on some albums I have on it. It's so annoying.
  • My iPhone won't let me play this song in an album i purchased? - 1 I purchased an album last night & i listen to my favorite song on it yesterday & today. I have been trying to play this song for over an hour now and every time i click on it, it skips to the next song, no matter how I go about trying to play it. Of all the songs on the album this is the only song that doesn't play when i select it, how ever i was able to listen to it earlier today.