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Ebbsfleet failed to break down Stockport on Saturday despite playing for an hour against 10 men.
The visitors had Alex Kenyon sent-off for a challenge on Neil Barrett but held Fleet to a goalless draw.
Unmarked Nathan Elder (pictured) should have won the match in injury-time but headed straight at keeper Richard O’Donnell.
Fleet remain bottom of Blue Square Bet Premier folowing their eighth home draw of the season – a record that concerns boss Liam Daish.
He said: “We have drawn far too many home games and that is something that could come back to haunt us.
“We had chances to take all three points but the longer it goes on, the more anxious the players and supporters are going to get.”