It depends on whether the conviction was predicated on state statute or the Federal RICO statute( Racketeering Influenced and Corrupt Organizations.)  Some states like Connecticut have a local racketeering statute.

I am not familiar with Ohio's state laws, but do have some experience with RICO. Essentially it prohibits making a business out of illegal conduct (The criminal enterprise). When I last worked with it it required certain predicates...use of the U S Mail and/or interstate telephone to perpetrate the illegal conduct as well as repeated conduct or the danger of repeated conduct. This may now have been expanded to include the internet, but I have not researched it lately.  Prosecutors hate it because it is difficult to prove.

When an action is brought under RICO it is usually coupled with a count in the indictment for money laudering. Any use of the money obtained by racketeering can not be spent, deposited or otherwise used without constituting laundering of the funds (altering the identification and traceability of the illegal funds). If the perpetrator has hidden the money away for later use after serving his time any future use of these funds constitutes a new money laundering charge.

Although I suppose there are ways around it. I have read about some convicts released from prison who had hidden the money away in off shore accounts which are not subject to scrutiny by the American government, and had thereafter taken up residence in countries without an extradition treaty with the United States. I have also heard though that countries that harbor such people and allow them to draw against the off shore accounts find ways to force payment of some exhorbitant "fees,taxes" or whatever.The criminal elements within these countries also have their hands out.