Excel 2013 :: Conditional Format Named Range

I have a spreadsheet that keeps track of the equipment we have on rent. Whenever we have a new rental, I insert a row and enter the information. I have several conditional formats I am applying - (1) making the font a light grey so that it is hard to see on any rental that has been called off, but invoicing isn't complete on, (2) making the font red on any item that is within 3 days of the term, and highlighting any row that isn't showing an invoice in over 45 days. When anything is completed (rental has been called off, and the final invoice has been approved), I cut the row out and put it in a sheet entitled "Closed Equipment". When I cut out closed records or add new records, it will occasionally mess up my conditional formatting by only referencing one row. Additionally, I don't want the conditional formatting to transfer over to the "Closed Equipment" tab.

Would this be easier to keep clean and straight if I used VBA? Or should I just continue to occasionally check my conditional formatting and clean it up? I thought if I used a Named Range instead of cell references, it might work better, but entering named range "On_Rent" converts to the cell range ($A$4:$AA$194).

I am using Windows 8, Excel 2013. The file is on a network drive, and others in the office can look at it (they all run Windows 7, and either Excel 2010 or 2007), but they look at it so seldom.