> so they're technically two cities with the same name literally right next to each other, not one big city?

It's one metropolitan area, but governmentally, yes, it is 2 separate cities (+ a lot of suburban cities). Politically, it's a dysfunctional family. It's really hard to get anything done, but occasionally that works to the benefit because you have competing governments. Most of the time its a detriment though.

The sports teams get support from both sides of the state line.