The police can speak with the supplier of the IP address and, if required, get a warrant from a judge to obtain personal information about who and where the account was created. It probably doesn't matter whether it was produced and removed, because most online activity leaves digital traces.
Certainly, authorities can track whatever they need in this age of cybercrime since laws are becoming stronger and with certain court orders they can because when you delete an account, the account stays in the database along with activity dating back to the time you created the account. Even if you log out or clear your browser's cache, all data associated with your account will be available to law enforcement.
In fact, according to a report by The Verge, Instagram has a feature called "Deleted Accounts," which allows it to restore deleted accounts. This tool is only available to companies that have signed agreements with Instagram. Additionally, the social network offers no way for users to request that their information be removed from its system.
All this means that even after you delete your Instagram account, the platform doesn't remove all traces of your activity immediately. Instead, it keeps some records about deleted accounts for several reasons: to display notifications to users who may have been following them, to show in search results, and to support other features like "seen by" indicators.
Cybercriminals use these remnants frequently when they want to create new accounts or steal identities. They do this by creating new profiles with similar names to existing ones, and then copy/paste the content from the original page into the new one.
Everything that has ever been sent through your computer is always there. If you remove it, you can still restore it at a later time. The cops can trace the email account throughout that particular period. And the police have no recourse if the email account is totally wiped, i.e. after the time period has expired.
They might be able to obtain information theoretically, but Facebook would have to release it to them. A deleted account would be inaccessible to the police. Without a court order, Facebook would not supply them with the information; they would not simply disclose it upon request.
In a nutshell, sure. If a police authority needs access to a "deleted" Facebook account, they would have a court issue a warrant and deliver it to Facebook. Facebook would then search their servers for the communications and give them. To the authorities.
However, as we know from previous cases such as Bradley Manning and Edward Snowden, providing evidence to governments can have serious consequences for those involved. In addition, there are ways to delete information from Facebook's servers that don't actually delete it; they just make it impossible for anyone but Facebook to find. As long as someone has control of your computer or phone, they could easily restore any deleted material.
The first thing you should know about Facebook privacy is that anything you post on its platform is not private. This includes photos, videos, links, and status updates. Even if you delete a message, it will still be available to others via backlinks in other posts or in the embedded document field. Tags and categories also do not remove content from viewability by other users.
As far as we know, no one has ever been arrested for posting something on Facebook. However, what people choose to share often creates legal issues for them later in life. For example, if you use certain language or depict/include people without their consent, you could be breaking federal law.