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Mix together the sugars, oil, vanilla, and pumpkin.
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Mix in the rest of the wet ingredients for the cookies.
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Add all the dry ingredients for the cookies and mix together until just blended.
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Put the pumpkin mixture in a plastic bag or a pastry bag. Snip a hole in the corner.
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Use the mixture and the bag to make circles from the dough on a greased cookie sheet.
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Bake for 11 - 12 minutes at 350Let them cool completely.
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While the cookies are cooling mix together all your ingredients for the filling.
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Put the frosting mixture in a plastic bag or a pastry bag. Snip a hole in the corner.
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Drop blobs of frosting on the middles of half of the cooled cookies.
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Put another cookie on top the cookie and frosting.