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Nottingham Forest will go into the Europa League play-off round after a 4-0 win over Ferencvaros on Thursday, while Celtic secured their place in the knockout phase with victory over Utrecht.
Aston Villa finished second in the league phase after recovering from two goals down to beat Red Bull Salzburg 3-2 with their spot in the last 16 already assured.
Forest stood an outside chance of climbing into the top eight going into the final round of matches but needed to beat Robbie Keane's Ferencvaros and rely on other results going their way.
Sean Dyche's side did their bit as Igor Jesus struck twice for Forest after Ferencvaros defender Bence Otvos scored an own goal. James McAtee tucked away a late penalty, but the win was only enough for the Premier League club to finish 13th overall.
Twice former European champions Forest will learn their play-off fate on Friday along with Celtic, who overcame lowly Utrecht 4-2 after scoring three times in the first 19 minutes in Glasgow.
Benjamin Nygren put Celtic ahead before an own goal from Utrecht captain Nick Viergever. Arne Engels converted a penalty with Celtic cruising, but Utrecht pulled it back to within one until Auston Trusty's header gave the hosts some more breathing space.
Villa looked to be sliding to just a second defeat in Europe when Salzburg surged 2-0 ahead in Birmingham through goals from Karim Konate and Moussa Yeo.
Morgan Rogers reduced the deficit and Tyrone Mings headed Villa level, with 19-year-old Jamaldeen Jimoh-Aloba netting his first senior goal to complete the turnaround for Unai Emery's men.
Lyon topped the table with seven wins from eight after completing the league phase with a 4-2 victory over PAOK. A minute's silence was observed before kick-off in memory of the seven Greek fans killed in a minibus accident in Romania.
Midtjylland, Real Betis, Porto, Braga, Freiburg and Roma all finished in the top eight to ensure direct qualification for the last 16.
Rangers concluded a miserable European campaign with a 3-1 loss at Porto, their sixth defeat in eight games in the competition.
(A.Berg--BBZ)