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The same as it's your right to own a chair or a bicycle or pack of cards or a bar of chocolate if you have a legitimate means of purchase. There are a number of pieces of legislation associated with the ownership of a car such as the obligation for insurance, payment of duty, a duty of care regarding it's roadworthiness etc. Failure to meet these obligations can lead to a specific car being seized as a penalty. However, the ownership of a car is in no way proscribed.
How can it be a right to have a car?