JD33:
The Pirate Bay isn't a conventional website, where files are actually hosted. Instead large numbers of users of the Bit Torrent peer-to-peer(P2P) file sharing system all make certain folders on their computers 'public', with The Pirate Bay 'indexing' them for easy access.
So, for example, there might be hundreds of users who've all got illegal copies of 'Mulan' on their hard drives. When another Bit Torrent user searches for that movie (using the indexing service that The Pirate Bay effectively provides), he/she will be offered each of those files as a 'seed', which he/she can then download.
The idea is that the person receiving files over a P2P network then keeps their computer connected to that network, enabling others to download files from his/her computer. Some people don't (which is known as 'leeching') but, unlike other P2P networks, Bit Torrent uses a 'tit-for-tat' protocol, whereby users can't download files unless they also make files available for uploading.
Internet Service Providers can be subject to legal action if they do nothing to prevent illegal file-sharing over P2P networks, so many users of Bit Torrent are now receiving warnings from their ISPs that, if they don't stop downloading/uploading copyright-protected files illegally, they risk
(a) having their internet connection terminated ; and
(b) being reported to the relevant authorities, either so that can be sued under civil law or prosecuted under criminal law.
Hence the number of people offering seeds on Bit Torrent is dropping rapidly and will, no doubt, continue to do so.
Those who created The Pirate Bay were prosecuted, and sentenced to jail, 12 years ago
https://en.wikipedia.org/wiki/The_Pirate_Bay_trial
but the site still lives on.