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Boston Red Sox relief pitcher Andrew Miller pitches during the seventh inning against the Toronto Blue Jays at Fenway Park.Bob DeChiara

The Baltimore Orioles have obtained left-hander reliever Andrew Miller from the Boston Red Sox for minor league pitcher Eduardo Rodriguez.

Miller provides the AL East-leading Orioles another solid lefty in a bullpen that has flourished this season.

The 29-year-old Miller has a 2.34 ERA in 50 appearances with the Red Sox, who unloaded several of their veterans Thursday before the end of the non-waiver trade deadline.

Miller has limited left-handed hitters to a .150 batting average and kept righties to a .180 average in 150 plate appearances.

Since becoming a full-time reliever in 2012, Miller has a 2.78 ERA in 140 games while averaging 13.3 strikeouts per nine innings.

The 21-year-old Rodriguez is 3-7 with a 4.79 ERA in 16 starts with Double-A Bowie this year.

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