Whenever you try to send or receive a link in a private message, it seems the link gets automatically removed from the message, but when viewing your chat on the mobile version of the website, the links show up normally.

I'm not sure which of those two is the intended behavior, but there is definitely an inconsistency between the mobile and PC version.

I even had a case where someone sent me a link and the whole link showed up on mobile site, but only a portion of the link displayed when I viewed the chat on the pc version (instead of being removed completely like usual).

If links are supposed to be removed automatically, I suggest giving the user a heads up that their link will automatically be filtered out. Otherwise, if they are allowed, they should display properly on the PC version like they do on mobile.