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If you can demonstrate sufficient finance to receive a mortgage offer from your lender then the lender will not object. You will have to execute a declaration of trust with your partner upon completion, this is a deed which states the percentage of the equity you are each entitled to when the proceeds of sale are realised in the future. It will obviously be subject to your (re)mortgage being paid off first.
You should speak to the solicitor/conveyancer acting in the transfer/remortgage and provided your wife is saistfied with this arrangement and is willing to sign the transfer then it will not prevent the transaction.
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