There are a few ways that politics can be restored. For some carriers, the insured can make a payment and again the policy in time with a break. This means that the policy would not cover when it was canceled until the date of reinstatement. Most companies offer coverage to the date after the payment is made to reduce fraud. In this way, the insured may not be an accident, then come back the policy and demand that the insurance company pays the claim.
Other insurance companies offer what is called re-employment without interruption. This means that the policy will be reinstated retroactively to the original date of cancellation. Most companies that offer this type have a limited period of rehabilitation that can recover the insured and also requires that no injuries. Often require the insured to a statement that no sign of loss.
In this case the insured is obligated to all premiums that would have been payable during the notice period, as the policy is not falling again. The insurance is not responsible for losses incurred during this time. In short, the insured pays a cover for a period they could not with the insurance coverage. It is a win for the insurance gain.