The listing for the bike describes the item for sale as:
"A sturdy bike with blue frame, this men's Reflex Westminster has been a regular commuter to and from the House of Commons over the years with numerous journeys to the Department for International Development & Number 10 Downing Street.
Complete with front basket, lights, horn, gears, pannier rack and mud guards, this hard working two-wheeler, still in perfect working order, is now looking for a good home out of the limelight for its retirement years.
This is a seven year old Hybrid bike offering stability, comfort and ease of use, making it perfect for new cyclists, casual riders and especially urban commuters."
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The film had formed part of a commemoration to the Choucair family, three generations of whom died in the fire.
John Nolan, who was found with cigarettes and two lighters, suffered burns on 65% of his body after being alight for around six minutes.
Known as Pily she died in January, seven months after the disaster, having suffered a stroke.