Do the store names in columns A and B correspond.
For example if A10 contains "Main Street Store", and this store is still open, does B10 also contain "Main Street Store"
and if Downtown Store in B11 has closed, is cell A11 empty.
If this is the case then create a regular filter on column A and use the (Blanks) option.
The rows for stores that have closed will be shown.
Select all the visible rows, (select rows, not just the cells), then right-click on one of the selected Row labels (1,2 etc. ) and select 'Delete Row'.
Remove the filter and all rows that contained closed stores and their data will have been deleted.
If your data is not organized like this, please provide more details.