The lease company will transfer the liability to me. I can then appeal it
There is a set procedure for this, with which the lease company should be familiar.
The lease company make reps against the PCN on the grounds you are the lessee.
The council issue a Notice of Acceptance to the company,
cancelling the original PCN, and issuing a fresh PCN to the the lessee.
Some councils forget to issue a NoA to the company, meaning two PCNs will be around.
The legislation permitting this transfer does not apply to all types of lease.
When you receive a PCN in your name you must check that the leasing company has received a NoA cancelling the first PCN.
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I think I've got that right: others will soon correct me if not.