Move rows from a table to another from a date

move_rows.sql

SET @START = 10, @finish = 3;

INSERT INTO old_log
    SELECT
        *
    FROM
        log
    WHERE
        time >= DATE(NOW() - INTERVAL @start MONTH )
    AND
        time <= DATE(NOW() - INTERVAL @finish MONTH );
        
    DELETE FROM
        log
    WHERE
        time >= DATE(NOW() - INTERVAL @start MONTH )
    AND
        time <= DATE(NOW() - INTERVAL @finish MONTH );