Some Itunes songs in my library do not play. How do I play them?

Many of the songs purchased and located in my Itunes library do not play. One of the common denominators with the non-playing songs is the Icloud with an arrow next to the song. I've been instructed to click on these and nothing happens. I've also checked my account for available downloads and receive a response indicating everything has already been downloaded. My computer is authorized. The songs were purchased through Itunes and used to play. I purchased the Icloud last year, never really used it and did not renew. I spent 45 minutes (on the phone) with Apple support represenative yesterday. She did was not able to resolve the issue and after 15 minutes placed me on hold. I waited 30 minutes for her ro return and finally hung up.

Perhaps, someone has had a simliar experience and can help me out.