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Needing stoppage time winners from Patrick Schick to win both legs of their last 16 tie with Qarabag, Leverkusen were dominant but had failed to break through against the dogged visitors. With 14 minutes remaining, coach Xabi Alonso brought on Hofmann and Boniface and the move did the trick, the Nigerian linking with the Germany winger for the opener in the 83rd minute.
Boniface then sealed the result in stoppage time, heading in a Hofmann cross for a 2-0 win. The victory continues what could be a stunning week for Leverkusen, who are 16 points clear of Bayern Munich in Germany and can win their first Bundesliga title by beating Werder Bremen at home on Sunday.
West Ham, who fought hard with little in the way of possession or field position, will need to become the first team to beat Alonso's side this season to return to the semi-finals.
