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Die Roten had conceded just 12 goals at home all season prior to the tie and Ramsey thinks Arsene Wenger's side deserve credit for their performance against the runaway Bundesliga leaders.
“It was always going to be difficult from the first game,” he told the club's official website.
“We gave ourselves a tough job to do but we came here with no pressure and managed to put in a really good performance.
“We came close and at the end of the two legs, we drew 3-3. It’s not an easy place to come and win 2-0, so we can take a lot of positives from the result. We’re disappointed we’re out of this competition.
“We have a lot of good quality players in the team and we showed that tonight. We just need a bit more belief. Consistency has been a factor over the season. When we do play well, we can give any team a run for their money and we did that tonight.
“We just have to go into every game focused and try and win every game that we play until the end of the season to try and get back into the Champions League.”