how do i move purchased music off the cloud on to the itunes library

Hello there, jake8796.

From what you've described, it sounds like you are trying to download previously purchased music to iTunes on your computer. The following Knowledge Base article offers steps on how to do just that:

Download past purchases from iTunes in the Cloud - Apple Support

Before you begin

1. Sign in with the Apple ID that you used for the original purchase. Use these steps to see which Apple ID you used to download an item.
2. Check to see if the purchases you're looking for are hidden. If your purchases are hidden, you might not see them even after you follow the steps below. Learn how to unhide purchases.
3. See if the content is available for redownload. Previously purchased items might not be available if they're no longer on the iTunes Store. Also, make sure that you’re in a country where iTunes in the Cloud is available. If you changed your Apple ID from one country to another, you can’t download items you purchased in a previous country.

If you're using Family Sharing, you can download content purchased by other members of your family group.

Redownload a song

[...]

On a Mac or PC

1. Open iTunes.
2. Click Music in the upper-left corner.
3. Click iTunes Store.
4. If prompted, sign in with your Apple ID and password.
5. Under Quick Links on the right side of the iTunes Store, click Purchased.
   
6. Select Not in My Library to view purchased content that isn't on your computer.
   
7. Scroll to find the item that you want to download. You can browse using the menu on the left-hand side of iTunes.
   If you have more than 2,000 songs, you'll see Recent Purchases instead of All Songs or Albums.
8. Click the Download icon in the upper-right corner of the item you want to download. Your app downloads to your library.
   If an item is already in your library, the Download icon won't appear.

Thanks for being a part of Apple Support Communities.

Cheers.