Whisk the flour, salt, baking soda, ginger, cloves, and cinnamon in a large bowl. Set aside.
Use a mixer to cream the butter, shortening, and sugar until light and fluffy.
Beat in the molasses and eggs.
Gradually add the dry ingredients to the butter mixture, beating after each addition, until the mixture is mixed and the dough is smooth.
Shape the dough into a disc, then wrap it in plastic wrap. Place it in the freezer for about 15 minutes to chill it.
After the dough is chilled, remove it from the freezer and cut the disc into 6 pie-shaped wedge slices. Place one pie-shaped portion onto a floured surface for rolling. Place the remaining dough back in the freezer to keep it chilled.
Roll to 1/4-inch thick circle. Use the cookie cutters to cut out shapes.
Place the cutouts (separated) on a cookie sheet prepared with parchment paper or a baking mat. Place them in the refrigerator and let them chill for 15 minutes.
Preheat the oven to 350°F. Bake the chilled cookies for 7 minutes. Remove from the oven and allow them to cool on the pan for a few minutes. Then move them to a cooling rack.
Remove another pie-shaped slice from the freezer, then repeat rolling and cutting. If the dough is thoroughly chilled, move it to the refrigerator. Repeat until all cookies are rolled, baked, and cooled.