To the best of my knowledge (from personal experience), there's no statute of limitations on a stolen vehicle. It's hot forever, until it's recovered by the police or insurance company, and given a "clean" identity.
If an insurance company paid a claim on the car and it resurfaces, the insurance company owns it, and can take it...even if it's been entirely restored, rebuilt, or heavily modified.
This sticky little fact stopped me from doing anything with an expensive car abandoned at my shop in the 1980s, and reported stolen (without my knowledge) so the owners could collect money for it, rather than paying me to repair damage from an engine compartment fire.