The hosting space has been paid. the domain name needs to be renewed. Without the domain name, the site will go away. And since sinful desire offers space for more than just the archive, those other website sub-domain names and the websites will also go away.

The way to look at it: we have a car (the hosting space), but without the domain name we cannot drive it anywhere. what typically happens when a domain name lapses is that it is automatically bought up by a bulk reseller and then you have to pay a lot of money (if at all) to get your website address back again. You can always register a new domain name and move to the new one, but all the links to the old website are broken.