Preheat oven to 350°F (180°C) and line a 8-inch (20 cm) cake pan with parchment paper.
Zest the oranges, then juice them. In a small bowl, combine the orange zest and juice, and set aside.
In a large bowl, using an electric mixer, beat the eggs and sugar until light and fluffy (about 5 minutes).
Add the vanilla extract, orange zest, and orange juice, and gently mix to combine.
In a separate bowl, whisk together the almond flour, baking powder, and salt. Gradually add the dry ingredients to the wet ingredients, gently folding until just combined, being careful not to deflate the batter.
Pour the batter into the prepared cake pan and smooth the top. Bake for 40-45 minutes, or until golden brown and a toothpick inserted into the center comes out clean.
Let the cake cool in the pan for 10 minutes, then carefully remove it and let it cool completely on a wire rack. Dust with powdered sugar before serving.
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