Links after removing from storage

[4SVS]

Hi everyone! 

We record Zoom meetings once every two weeks as our team unites to discuss a particular topic. We recently ran out of space, so I downloaded the recordings and moved them to our server. Unfortunately, this means that the links to the recording now seem empty. Is that normal? 

So for the links to work to a recording, the recording has to stay on the Zoom platform? They are still saved as I only just deleted them so they will be in the trash for 30 days. Would it be best to simply increase our storage, or is there another way that the links will work? 

Thanks!