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Two goals in the last six minutes of this first qualifying round tie ended Ashford's interest in the FA Cup for another season.
Steve Lovell's side had looked on course to earn a replay at Homelands on Wednesday, only for Marc Elston (84 minutes) and Hassan Nyang (88) to strike with time running out.
The nearest that Ashford had come to a goal was when Joe Fuller, pictured, saw his 34th-minute effort cleared off the Leatherhead line.
This Saturday Ashford are at home to Whyteleafe in Ryman League Division 1 South.