We do very few of these. We copy the original application and make modifications to the copy for term, amount, purpose, etc. as needed to fit the terms of the second loan. We have the applicant(s) initial the changes and re-sign the application.
However, you mentioned investors, they may have different requirements and I would advise talking to the appropriate reps to find out their requirements.
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The opinions expressed are mine and they are not to be taken as legal advice.