I think a quick answer is this:
Control Procurements has to do with finalizing the procurements for sellers throughout the project. Say your project is to manage a project to build a house. You might have hired contractors for running conduit , building frames, pouring foundations. So you have loads of procurements that you’ll have to finalize throughout the project. The foundation might be poured Week 3 of a 20 Week project. You pay them (according to the terms/agreements) when the work is complete and accepted.
Close Project has to do with your customer accepting the house. Then you and the home owner close your stuff, after the deliverable is accepted and transferred. This isn’t the numerous procurements that went on during the building of the house.
Hopefully that makes sense. And hopefully that is right.

Someone correct it if my understanding is wrong.
Also, that wasn’t a quick answer.