In a large bowl, combine the flour, yeast, and salt. Add the olive oil and lukewarm water, and knead until a soft, but not sticky, dough forms. If the dough is too dry, add a little more water.
Cover the dough with a clean kitchen towel and let it rise in a warm place for about an hour, or until doubled in size.
Mince the garlic and mix it with the sour cream, black pepper, and oregano.
Divide the risen dough into two equal parts, and roll each part into a circle, about 5 mm thick.
Spread the seasoned sour cream on one half of each dough circle, then sprinkle with the grated mozzarella and Parmesan cheese.
Fold the other half of the dough over the filling, and press the edges firmly to seal. Make sure there are no gaps, or the filling might leak.
Preheat the oven to 400°F (200°C). Brush the top of each calzone with beaten egg to give it a nice golden-brown color.
Place the calzones on a baking sheet lined with parchment paper, and bake for 20-25 minutes, or until golden brown.
Let the calzones cool for a few minutes before slicing, to prevent the filling from being too hot and runny.
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