But it can reproduce.
Infected cell =/= virus, they are two separate entities. A virus by itself cannot cause the synthesis of proteins and nucleic acid strands.
The thing is that when a virus, or a virion, is not inside a host it is completely dormant. Essentially in a "dead" state. But when a virus enters a host it becomes active, it reacts to its surroundings it hijacks the host to begin replicating itself.
A virus has no means of locomotion as it lacks any form of metabolic process. Spread and mutation are entirely reliant upon external environmental factors. This includes the development and mutation of capsids, the delivery method of nucleic acid strands.
So if that virion had been dormant for 30'000 years and then the researchers began to study it and introduced it into something to see its reproduction process then you could say that it was brought back to "life."
Please stop abusing those terms. To study virion
infection the researchers had to find external cells with membranes susceptible to specific virion glycoproteins. To study virion itself researchers employ electronmicroscopy.