How do I trim edge for vinyl flooring?

by JanCan

We've hit a problem trimming out the floor in our laundry room.First, it has two elevations. The lower is a sub floor and the upper is cement original to the house (built in1900).Both were covered in cheap carpet.The cement bows out and nothing is straight.The floor itself can't have anything nailed down to allow for expansion so we thought something has to be glued to the cement riser?Any help would be appreciated.

We need to cover upper and lower floor cuts

This looking from higher to lower floor

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