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Police were called to reports of a man wandering on the motorway - who turned out to be wanted on a warrant.
Officers attended the M2 near Rochester at around 9am this morning (Saturday, June 22).
The 22-year-old man from Sheerness was seen on the carriageway and was described as drunk.
Upon arrest, police officers found out that he was the subject of a warrant by Medway Magistrates Court for shoplifting offences.
He remains in custody.