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Correct me if I'm wrong, but modern phone landlines have a quick-snap connector head at the end of the wire that snaps into the phone line jack in the wall (and also into the phone itself).
If it's pulled from the wall and the head doesn't break, it's just a snap to plug it back in, but in olden times before these existed, I think that pulling a phone line from the wall meant you had to re-splice the wire to reconnect it (although I could be wrong since the technology is before my time).
Basically, the idea is if a bad guy in an old movie pulled the phone cord from the wall (usually done dramatically) then it was quite the extensive process to reconnect it (as opposed to just snapping a connector back into the jack).