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Simplifying Excel Formula: COUNTIFS Formula

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Is there a simpler way to write the following:

=SUM(COUNTIFS(\$A\$2:\$A\$22,"1/1/2014",\$B\$2:\$B\$22,"1/1/2014")+(COUNTIFS(\$A\$2:\$A\$22,"1/1/2014",\$B\$2:\$B\$22,"2/1/2014")+(COUNTIFS(\$A\$2:\$A\$22,"1/1/2014",\$B\$2:\$B\$22,"3/1/2014")+(COUNTIFS(\$A\$2:\$A\$22,"2/1/2014",\$B\$2:\$B\$22,"2/1/2014")+(COUNTIFS(\$A\$2:\$A\$22,"2/1/2014",\$B\$2:\$B\$22,"3/1/2014")+(COUNTIFS(\$A\$2:\$A\$22,"3/1/2014",\$B\$2:\$B\$22,"3/1/2014")))))))

The attached is a sample of my spreadsheet. I have dates where people become qualified (QUAL MON) to perform certain tasks and when they are completed (COMP MON). I need to track the number of completed tasks.
EE-COUNTIFS.xlsx
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