How to get rid of "A formula in this worksheet contains one or moreinvalid references"
 

Frequently I'll delete some cells in an Excel 2007 worksheet and from
then on get the message "A formula in this worksheet contains one or
more invalid references." whenever I try to do anything in the
worksheet. There are no invalid references, as I have verified.
Possibly there were some temporarily while Excel was in the process of
deleting the cells. If I save the file, exit Excel, then reopen the
workbook, Excel changes its mind and decides there aren't any invalid
references after all (at least the message goes away). Is there any
way to get Excel to figure this out with shutting it down?