Nassau County rolls don't match the state

I have a copy of Nassau County rolls dated 10/4/2021. I also have a copy of the NYSBOE (state) rolls dated 10/12/2021. Both dates are more than eleven months after the 2020 election. In a comparison of the two, there is a discrepancy in the vote count of the 2020 election.

According to the state rolls, 739,341 residents of Nassau County cast a vote in th…