Do you have to tell the state you sold it?
Yes — the Sold Vehicle Notice, about 60 days after the sale
West Virginia's Sold Vehicle or Watercraft Notice, form DMV-1-S, changes the vehicle to SOLD on the DMV's records. The DMV says it typically asks sellers to wait 60 days after the sale before submitting it, to give the buyer time to title the vehicle. No fee is printed on the form, and every line must be filled in. State law separately says the seller should notify the DMV immediately on a transfer — if you are unsure which applies to you, ring the DMV.
Source: WV DMV, Forms — DMV-1-S Rev 11/2021; W. Va. Code § 17A-4-1