John-Arne Riise is huddled by teammates Gerrard and Xabi Alonso after he put Liverpool 2-0 up.
They doubled their lead against the injury-hit Dutch side after 49 minutes when Riise controlled the ball on his chest before thundering in a left-foot volley from 20 metres.
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Eindhoven defence proved vulnerable with the absence of Brazil's Alex.
Alex, whose late header at Arsenal last month earned PSV their quarterfinal ticket, was missed for his organising skills and the PSV defence generally lacked confidence and were continually under pressure from almost constant Liverpool attacks.
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