Can you move albums from playlist to the main song library

I have just purchased a few albums from the new itunes store, and 1 of them went straight to the main library, but also showed up in the 'purchased playlist, whereas the other 2, and a couple of other songs only showed up in the purchased playlist, and so, i have to search for them when i want to listen to them. I just wondered if there is any way I can move them to the main library with all my songs, as I often have all my songs on shuffle throughout the day and want them included. Bear in mind, it is the newest version of itunes, and any video tutorial online i have seen, are not up to date, or dont mention this at all x thanx