can a company in ohio sue me in ohio if i live an my business is located in NY?

You can be sued in a state if you have sufficient contact with that state to make it constitutionally permissible for that state to exercise jurisdiction over you.  The amount of contacts necessary is much less if the claim arises out of those contacts.  Thus, for example, the fact that you advertise in Ohio may not be sufficient to give Ohio jurisdiction over you in general, but if the claim relates to something arising out of that Ohio advertisement (for example, if someone sues you for fraud growing out of representations in that ad) Ohio probably would have jurisdiction over you.  If the claim is that you sold infringing products in Ohio, that will probably be enough to give Ohio jurisdiction over you.  There is no way to even estimate how much it will cost you to defend the suit, at least not without much more information.