I prefer having the account closed and a single account opened. We have, on occasion, taken a letter from the person asking to be removed from an account. One owner does not have the right to remove another owner. If only one signature is required on the consumer account, they do have the right to close the account. As noted above, you are asking for trouble if you accept the instruction of the other party.
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Life without Jesus is like an unsharpened pencil - it has no point.