Hi accounting451
"Completed" and "archived" POs are not the same.
A completed PO means that you have already received the goods, and you are done with that PO.
Archived is the same as "trashed", so you have deleted the PO for some reason.
But you have views for all the possible statuses at the top of the POs list:

Please note that the top views might differ if you are not using the Purchase Orders PRO addon.
Best Regards,
Salva.