How to get my deleted songs back on my iPhone?

I deleted some songs from my iTunes library on my computer, but now I want them on my iPhone again. I went to the 'purchased' area in iTunes where I'm supposed to be able to download them again, but they aren't there. I found the albums in the iTunes store, and instead of saying the price, it says 'purchased' next to them, but there's no option to download. I'm at a loss, so please help!

Did you go into iTunes Store, while logged into the account the songs were bought with, then look under quick links and selected purchases, then click to show what was no installed on the computer? That is what I have done and it's always worked. And my sister who bought a new computer, all she had to do was log into her account and the music downloaded by itself.

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