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In a large mixing bowl, cream the butter and sugar until lighter in color and fluffy. This will take about 3 minutes.
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Add in the egg and vanilla extract. Mix until fully incorporated and fluffy again.
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Using a sifter, sift in all-purpose flour, wheat flour, cinnamon, baking soda, and salt and mix until it is just combined.
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Wrap the dough in plastic wrap and chill for at least an hour.
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To make the filling, place the fig, water, orange juice, cinnamon, vanilla, and salt in a medium pot. Bring to a boil, then reduce to a simmer for about 10-12 minutes.
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Place the mixture into a food processor, add in the honey, and pulse or blend until you get a thick paste.
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Add the fig paste to a piping bag (or large ziplock bag) and set aside.
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Preheat the oven to 325 F.
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Once the dough is chilled, lightly flour a surface and roll it to 9 x 13 or 10 x 14 inches. Square it off using a knife or pizza cutter.
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Cut 3 to 3.5-inch thick strips down the length of the rolled-out dough.
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Cut a hole in the piping bag and pipe the filling down the center of the dough.
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Fold the ends over and press close, sealing the best you can.
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Roll each log slightly (if you need to bond together place them seam-side down on a parchment-lined baking sheet).
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Bake for 20 minutes.
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Broil for 1 minute to slightly brown the tops.
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Remove from the oven and let them cool for 10-15 minutes.
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Slice and enjoy!