If a selected candidate or an unselected candidate files with the Secretary of State, no later than the 68th day before the presidential primary, an affidavit stating without qualification that she or he is not a candidate for the office of President of the United States at the forthcoming presidential primary election, the name of that candidate shall be omitted from the list of names certified by the Secretary of State to the elections official for the ballot and the name of that candidate shall not appear on the presidential preference portion of the primary ballot.