Unfold the pastry sheet on a lightly floured surface. Roll the pastry sheet into a 16x12-inch rectangle. With the short side facing you, layer the ham and turkey on the bottom half of the pastry to within 1 inch of the edge. Sprinkle with the cheese. Starting at the short side, roll up like a jelly roll. Place seam-side down onto a baking sheet. Tuck the ends under to seal. Brush with the egg mixture.
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