Hello there, @BJones309 ...
When I look at our course listings screen (similar to what you have shown), it seems that Canvas orders courses by the "SIS ID" column (by default). That's why there is a little triangle arrow next to the column heading "SIS ID". Are you keeping those courses in Canvas for any particular reason...even after you have put them in a term called "Archived Terms"? Are those courses ever going to be used for anything? Will people still access them for any reason? Even though you put those courses in that term, it's not going to hide them from your view...as there aren't any settings I am aware of on the "Terms" screen to tell Canvas to hide those courses.
If those courses aren't going to be used at all for any reason, I suppose you could delete them from Canvas. That would remove them from your list.
But, if you wanted to keep those courses in your "Archived Terms" term, would you be open to changing the "SIS ID" field for those to something else? I noticed that all the SIS ID fields in your screenshot start with 2021 ... and then some other text which you've blurred out. Is this the common way that future courses will be set up? If so, then for these courses in your "Archived Terms" term, you could change those SIS ID values to something like "Zzzzz 2021..." or whatever you wanted to use (I think even leaving the "SIS ID" field blank would work). Eventually, when you get more courses added into your main Canvas account, those "Archived Terms" courses will get pushed further and further down because your courses with "2021...", "2022...", etc. in the "SIS ID" field would take priority, I think.
I'm not sure if any of this will be helpful to you, but let Community members know if you have any other questions about this...thanks!