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Default Sumproduct syntax when using AND, OR

I have a list of trouble tickets with ticket#, open and close dates recorded
like this:

A B C
1234 05/01/07 06/15/07
4567 04/01/07 07/15/07
4321 05/29/07

Timeframe is recorded like this:
D1=06/01/07
D2=06/30/07

I am trying to write the condition below as a SUMPRODUCT.

Condition: (open<D1) && ((close=) || ((closeD2) && ((close-open) 30)))

Formula: =SUMPRODUCT((B1:B3<D1) AND ((C1:C3=) OR ((C1:C3D2) AND
((C1:C3-B1:B330)))

What are the formula notations for AND and OR?

Thank you.

 
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