In a large bowl, cream butter and sugars until light and fluffy. Beat in the egg, orange juice and zest. Combine the flour, salt and baking soda; gradually add to creamed mixture and mix well. Stir in cranberries and walnuts.
Drop by tablespoonfuls 2 in. apart onto greased baking sheets. Bake at 375° for 12-14 minutes or until edges are lightly browned. Remove to wire racks to cool.
Combine icing ingredients; spread over cooled cookies.
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