If your site has no links, nothing at all, then, very likely it can even be deindexed in a week's time instead (sometimes even in a couple of days time). If your site previously has links, but no further updates since 2 years ago, chances are, those links may no longer be there any longer, thus no links = very high chances of getting deindexed. If your site has a lot of links, then that helps ensuring that the site or content is indexed for a longer period of time.