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Ebbsfleet moved closer to relegation from Blue Square Bet Premier following a 3-1 defeat at Braintree on Easter Monday.
Second-bottom Fleet, who had Stefan Payne sent off for a two-footed tackle, are 11 points adrift of safety with only seven games left.
Liam Daish's side fell behind at their mid-table hosts when unmarked Luke Daley finished from six yards on 11 minutes.
They equalised on 36 minutes with Liam Enver-Marum, pictured, on target after exchanging passes with Payne.
Matt Godden's 25-yard free-kick hit the woodwork as Fleet threatened again, but Braintree went straight up the other end and regained the lead through a James Mulley header four minutes before half-time.
Kenny Davis made the points safe with a penalty on 70 minutes after Tom Phipp fouled Mulley.
Payne was dismissed five minutes later for a challenge on Nicky Simons who was later stretchered off.