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The game went through the motions in the early stages, with the first chance not coming until the 12th minute, but Nicklas Bendtner's shot from outside of the box was efficiently blocked by the home defence.
Just before the half-hour mark, Hertha threatened as Hajime Hosogai's header from close range was smartly saved in the bottom left corner.
The game proved scrappy after the restart, with chances few and far between until Bendtner's half-chance on the hour.
Despite Wolfsburg pressing on in a bid to find an equaliser, Hertha stood firm and secured all three points to climb to 14th place, two places below Wolfsburg.