In a large bowl, cream together butter, sugar, brown sugar, and lemon zest. Add egg and egg yolk and beat until combined. Add lemon juice and beat well. Add dry ingredients and beat until just combined.
Place extra sugar for rolling in a small bowl. Use a large cookie scoop to portion out the dough. Roll into a ball then roll in sugar. Place on a cookie sheet 2 inches apart.
Bake until edges are just set, about 12-14 minutes. Allow cookies to cool before removing them from the pan. Cool completely.
When cookies are cool, make the lemon glaze by stirring together powdered sugar and lemon juice until smooth. Dip the tops of cookies in the glaze then allow them to sit on waxed paper until the glaze is dry.
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