Strange transferred music files

I have transferred a lot of music files from my old computer (Mac G5) to my new one (Mac Pro). In some of the tracks the name is preceded by this: ((•)), and the time reads “Continuous.” If I create a folder for just these files, it adds up to “0 seconds, zero KB,” yet the files play with no problem. What’s going on here?

Are those files possibly just links to online streaming? Will they still play if you’re disconnected from the Internet?

They still play.

If you highlight one of these songs and “Get Info” does it show the file where you expect it to be?

iTunes gives you the option to keep linked songs together, where two songs that fade into each other on the original recording (eg, Jesus Just Left Chicago and Waiting for the Bus) always play back together. Is it possible you had songs linked on the old machine and they’re unlinked now?