Trevor StoryShortstop Trevor Story, who had three hits including a homer in the Red Sox’ win over Minnesota Wednesday, hopes that the team’s play in recent weeks has convinced management they’re worthy of investment at the trade deadline. (Photo by David Berding/Getty Images)Getty Images

MINNEAPOLIS — After the Red Sox had run the table against the lowly Washington Nationals and Colorado Rockies, they knew they had a bigger challenge in front of them.

From the last series of the first half to a demanding road trip coming out of the All-Star break, to a home series with the defending champion Los Angeles Dodgers to a brief trip here, the Red Sox had a stretch of 16 games.

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