The chairperson of the convention or a majority of the members of the convention may, and the chairperson of the convention upon the written request of the county commissioners shall, call a further meeting or meetings of the county convention. On a day on which there is a meeting of the house of representatives such meetings may be held only in the city or town in which such meeting of the house of representatives is held. On days when there is no meeting of the house of representatives such meetings may be held at any place in the county.