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  Heat the milk until it's lukewarm.
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  Dissolve the yeast in the milk. Add the sugar, cardamom, vanilla, egg, and 2/3 of the flour. Mix the dough well (you can do this with a wooden spoon by hand or in a mixer).
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  Stir in the softened butter and gradually add the rest of the flour, while mixing. Add more or less flour, as necessary. When the dough starts to release from the bowl take it out and continue to knead it until it's elastic - about 10 minutes.
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  Return the dough to the bowl and cover. Let the dough rise until it's double in size - about 40 to 60 minutes.
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  Roll the dough into a cylinder and cut into about 16 - 24 pieces, depending on how large you want your semlor. Roll them into balls and set on a baking tray. Cover with plastic and let them rise for another 30 minutes.
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  Preheat oven to 435°F (225°C). Brush the top of the buns with whisked egg. Bake the buns in the middle of the oven (one pan at a time) for about 10 minutes. Cool on a wire rack.

Assembly

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  Cut off the top of the buns. If you want, you can use scissors or a cookie cutter to cut other shapes out of the top piece, or simply to clean up the circle shape.
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  Spoon the jam onto each bun.
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  Whip the cream with the vanilla and sugar and add it to the top of each bun. You can use a spoon or a piping bag to add the cream.
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  Add the top of the bun back on top of the cream.
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  Top with powdered sugar and serve immediately.