This is the 2576th most frequent German word.
abgelaufenen
"Abgelaufenen" means "expired" or "elapsed."
Here 'abgelaufen' is the past participle of the verb 'ablaufen', referring to an event that has finished.
Die Frist für den Wettbewerb ist abgelaufen.
The deadline for the competition has expired.
In this context, 'abgelaufenen' describes the worn-out condition of the shoes, derived from the adjective 'abgelaufen'.
Der Zahn der Zeit nagt an den abgelaufenen Schuhen.
The ravages of time have worn away at the expired shoes.
Here, 'abgelaufenes' qualifies the noun 'Ticket', referring to something invalid after a time period has passed.