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Default DSUM - non contiguous criteria range

Hi, this is my first time. Sorry if this has been asked and answered already
but I couldn't find an answer to this specific question on previous posts.

I'm trying to use the DSUM function and copy the formula down a column of
all rows where my criteria data resides. The field names in row #1 and
records containing criteria starting at row #2. Is there any way that DSUM
can do this? The formula obviously works for my first data record (row 2)
that contains criteria where the criteria argument would be for example
D1:E2. But when I want to evaluate the criteria on the second data record I
haven't figured out how to both reference the field names (D$1:E$1) and the
criteria set for this specific row (D3:E3).

....and then the next record referencing the field names (D$1:E$1) and the
criteria (D4:E4) and so on.

I think it would be great to really leverage the functionality of a
spreadsheet with a basic multiple criteria join instead of having to use
Access to make this type of join.

Thanks in advance for your suggestions.
 
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