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Melt unsweetened chocolate with butter, stirring after 20 second increments, in microwave. Cool.
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Beat sugar and eggs together in mixing bowl. Add Irish cream and cooled chocolate mixture. Mix well.
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Stir in flour, salt and chocolate chips.
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Pour into greased and floured 8-inch square baking pan. Bake at 325°F for approximately 20 minutes (test with wooden pick). Cool completely (about 1 1/2 hours).
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Pierce brownies with a wooden pick randomly. Drizzle 3 tablespoons Irish cream over brownies.
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In mixing bowl, combine liqueurs and butter. Mix well. Gradually add confectioners' sugar and beat until spreading consistency. Frost cooled brownies.