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Multiple Does Not Equal Criteria For Sumif Or Sumproduct.

I have a list of products in range A1:A9 that vary in the prefix and suffix, but most of them contain "BCI" or "LAM". I can sumif each of these with the "*BCI*"/"*LAM*" syntax, but I can not get the misc products that contain neither of these criteria.
I have patched together the two formulas below that have opposite affects.

=SUMPRODUCT((A1:A9"*BCI*")*(A1:A9"*LAM*")*(B1:B9))
Returns the sum of B1:B9 in its entirety.

=SUMIF(A1:A9,OR("*BCI*","*LAM*"),B1:B9)
Returns 0; however, the "*BCI*" or the "*LAM*" alone works.

Any help would be much appreciated!!


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