Lyric discussion by benjam326 

Cover art for Parallel or Together? lyrics by Ted Leo and the Pharmacists

In addition to many other things, this song to me refers to people who say they are "together," i.e. in a relationship, but in reality they are just living parallel lives. Sure, parallel lines can be very close, but by definition they will never actually touch or intersect. This can be applied to pretty much any human relationship, really.