The men, aged 20 and 21, were arrested on Wednesday following the report of a burglary at a home in Sparrowhawk Way in Apley, Telford.
A black Mercedes SLK was reported stolen from the address with its keys.
The two men were arrested later in the day and taken into custody by police for questioning.
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The 20 year-old has been charged with burglary, theft of a motor vehicle and possessing a controlled Class B drug.
The 21 year-old has been charged with burglary and theft, theft of a motor vehicle, driving dangerously, driving without insurance, driving without a licence and handling stolen goods.
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