How to download purchased music on the iPhone 5s?

I recently updated my phone from the 4s (The Wi-Fi grayed out and Apple wouldn't do anything to fix it) to the 5s. And I was downloading my prepurchased songs to my 5s and I noticed not all of the songs downloaded. It was my most text recently purchased songs that wouldn't download too.
When I look up those songs on iTunes it'll say "purchased" in the price bar instead of "play" like it usually does when you buy the song. Any help?

Just buy an iTunes card and go on iTunes and redeem it and shop away

I'm not sure if this is what you're asking, but I'll answer it anyways.

Go to iTunes Store>more>purchased>music

Then just click on whatever song/artist you'd like to redownload. Hope this helps!

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