Is the door opening 65" or the closet interior, wall to wall 65"? If you can scootch one appliance over enough to then get the other one out, then It would probably work. You have to have enough depth. My closets aren't deep enough for a washer dryer set. take some graph paper and draw out a plan to scale and include the w/d set specs in the drawing, then you will know. If you have the depth, but not the width, you could always stack them. I have mine stacked in my bathroom and love it. I have another set in the basement side by side in the open, that works well too. If you stacked you could avoid the bifold doors, and have shelving on either side of the stack, along with a folding space, and possible hanging space.

The depth of the closet is 40", and the interior of the closet is 65". Thanks for the stacking idea!

That will work. Standard laundry machines are 27"'wide to fit through a 28" door.

What size bi fold doors are you