I've also heard some FUD claiming that if someone infringes your copyright and you don't catch them within a certain period of time, you won't have any legal recourse.
That's actually true, although completely unrelated. The statute of limitations on copyright is 3 years in the US, beginning from the time when infringement ended. That means if somebody infringes your copyright, and then they stop, and you don't do anything about it for three years after that, you can't sue them for that particular infringement any more.
There's a statute of limitations on most crimes and civil infractions; somebody can object to the general principle if they really want to, but it really has nothing to do with copyright.
no subject
That's actually true, although completely unrelated. The statute of limitations on copyright is 3 years in the US, beginning from the time when infringement ended. That means if somebody infringes your copyright, and then they stop, and you don't do anything about it for three years after that, you can't sue them for that particular infringement any more.
There's a statute of limitations on most crimes and civil infractions; somebody can object to the general principle if they really want to, but it really has nothing to do with copyright.