Greyed out songs on Itunes that cannot be deleted.
This has been a issue for approximately 9 months. I have done much internet research and nothing has changed. I have even made an appointment with Apple at a physical location, and they were unable to help me. Granted they only tried for 10 minutes before telling me they didn't know how to resolve the issue. This only happens to songs I've purchased through iTunes, but it duplicates and I am unable to delete songs from iTunes, and then they duplicate on my phone. Which takes up space on my iPhone 5s, which we can all agree storage space is a necessity with the iPhone 6's that are out. Prior research indicates that it is synch problem and requires me to take each song that is "duplicating" and put through a program that needs to be paid for to fix it. For as much time, money, and effort that iPhones take to keep up there should be a solution to this issue. Provided below is a screen shot of the issue. Any suggestions are greatly appreciated. Side note, everything is updated including iTunes.
iPhone 5s, iOS 8.2