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Chances were at a premium after that, although Leno saved from Lewandowski and Jens Hegeler fired over the bar from the edge of the box.
However, the visitors were defending well and restricting their opponents to very little in front of goal.
Lewandowski headed over from a Marco Reus free kick as the clock ticked past 70 minutes, but Leverkusen continued to stifle Dortmund's attacking threat.
The only downside for Leverkusen was a late red card for Emir Spahic after the defender had tackled Lewandowski.
Dortmund pushed forward in the final few minutes, but the closest they came was a Lewandowski shot on the turn that Leno saved.
Sokratis Papastathopoulos then got his second yellow card of the match as both sides finished with 10 men.