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As a flooring installer I would always recommend just removing the old laminate from underneath as it does not take very long to remove and clean up.
Next is your LVP. Is it a floating click together or a glue down? Floating click together might work. But a glue down you would really need to rip the laminate out and insure that the floor is in great shape. Usually by installing sub flooring and patching the joints.
Either way I would always spend the hour or 2 to remover the old flooring. There is pretty much never any sort of warranty if not installed correctly. Open a box and read over the directions paper that is usually i:ncluded in each box