4. Registration poll records of voters whose registrations are not rejected by the board of elections shall forthwith be placed in the poll ledger or such voters' names shall forthwith be entered in the computer files from which the computer generated registration lists are prepared, except that the registration poll record of an otherwise qualified voter who registers after the tenth day before a primary election shall not be placed in such poll ledger or such voters' names shall not appear on such a computer generated registration list until after such primary and except further that the registration poll record of a voter whose previous registration was cancelled pursuant to the provisions of this chapter after the previous general election and who registers pursuant to the provisions of this chapter after such cancellation shall not be placed in such poll ledger or such voters' names shall not appear on such a computer generated registration list until after the fall primary election, unless such voter has enrolled with the same party as the enrollment on the registration which was so cancelled. The registration poll record of a voter who is not eligible to vote in a primary election but who is eligible to vote in a special election held before such primary election shall be placed in its regular place in the poll ledger or in a special section of such poll ledger for such special election as the board of elections, in its discretion, shall provide, or such name shall appear in its regular place on the computer generated registration list prepared for use in such special election.
Such poll record shall be removed from such poll ledger or computer generated registration list immediately after such special election.