Excel, Sumproduct, multiple conditions search in {} - excel

Question

I run into several postings on the internet (incl. stackowerflow) with code like this
=SUMPRODUCT((A1:A10="Marketing")*(B1:B10={"North","South"})*(C1:C10))
Conditions for search are neatly put into {}. I have 28 such conditions to search for, so I'm looking for a way to make the formula easier to read. If I try it, i get N/A.
Is there a trick I'm missing?
I'm aware that it can be written
(B1:B10="North") + (B1:B10="South")
but with 28 items it is going to be long.
Thank you in advance
EDIT1: (Disregard)
Tried Axel's suggestion
Simple example
- A B C D
1 1 2 3
2 1 2 2 3
3 2 4 4 6
4 3 6 6 9
=SUMPRODUCT((A2:A4={2,3})*(B2:D4))
Returns Sumproduct(({1,2,3}={2,3})*(B2:D4)) -> I still get N/A for last column when you continue in process
Same for
=SUMPRODUCT((A2:A4=A6:B6)*(B2:D4))
where A6:B6 is list of conditions
or
=SUMPRODUCT((A2:A4=testrange)*(B2:D4))
I'm trying to put all conditions within formula {"case1","case2",...} and so but can't make it work.
Edit 2:
Ok, I see the difference now.
Initial formula is column by column by column
What I'm trying to solve
Column A- list of accounts, I need to find 28 of them
Row 1 - months (conditions varies)
Range B2:AA462 - values
I can write it all with (A2:A462="account1")+(A2:A462="acount2")... up to 28 cases, but I'm asking whether there is a way to write it more simpler
Something like initial A2:A462={"North","South"}
Something like
=Sumproduct((A2:A462={"account1","account2",...})*(B1:AA1="June")*(B2:AA462))
Is there a way write this somehow?
EDIT 4:
Few weeks later inspired by Axel's inputs
=SUMPRODUCT(MMULT(--(A2:A7=G1:J1),ROW(1:4)/ROW(1:4))*(B1:E1=G4)*B2:E7)
Can be grown into
{=SUMPRODUCT(MMULT(--(A2:A7=TRANSPOSE(namedrange)),ROW(OFFSET(A1,0,0,COUNTA(namedrange)))/ROW(OFFSET(A1,0,0,COUNTA(namedrange))))*(B1:E1=G4)*(B2:E7))}
Ok, named range, has conditions within column, more natural way to keep a list of conditions you want to filter for. Also MMULT is now flexible, and counts number of conditions and adjust number of rows to multiply by.
Whole formula must be entered as array formula.

Answer 1

{"North","South"} is the array literal for a row vector. That means it is as if "North" and "South" is placed in juxtaposed cells in one row. So if "North" is in E1 and "South" is in F1, then the formula could also be:
=SUMPRODUCT((A1:A13="Marketing")*(B1:B13=E1:F1)*C1:C13)
With more criteria it could be:
=SUMPRODUCT((A1:A13="Marketing")*(B1:B13=E1:H1)*C1:C13)
It is important that the criterias are in a row vector (one row, multiple columns) since the B1:B13 is a column vector.
Answer to your Edit 2:
The approach:
=SUMPRODUCT(((A2:A462="account1")+(A2:A462="account2")+...+(A2:A462="account28"))*(B1:AA1="June")*B2:AA462)
, which will work, is different from (A2:A462={"account1","account2",...,"account28"}). The latter cannot work since it creates a matrix of 461 rows and 28 columns while the working one ((A2:A462="account1")+(A2:A462="account2")+...+(A2:A462="account28")) is only a vector of 461 rows in one column.
The equivalent could be:
=SUMPRODUCT(MMULT(--(A2:A462={"account1","account2",...,"account28"});ROW(1:28)/ROW(1:28))*(B1:AA1="June")*B2:AA462)
and if "account1","account2",...,"account28" are in AC1:BD1 then also:
=SUMPRODUCT(MMULT(--(A2:A462=AC1:BD1);ROW(1:28)/ROW(1:28))*(B1:AA1="June")*B2:AA462)
What is this doing? It uses MMULT to transform the matrix of 461 rows and 28 columns into a vector of 461 rows by multiplying the matrix with a row vector of 28 rows filled with 1.
So if there is a 1 in one of the 28 columns in each row of the matrix, then there will also be a 1 as the row value of the resulting vector of 461 rows.
Example:
Formula in H3:
=SUMPRODUCT(((A2:A7=G1)+(A2:A7=H1)+(A2:A7=I1)+(A2:A7=J1))*(B1:E1=G3)*B2:E7)
Formula in H4:
=SUMPRODUCT(MMULT(--(A2:A7=G1:J1),ROW(1:4)/ROW(1:4))*(B1:E1=G4)*B2:E7)
To be complete, there also would be an approach using SUMIF inside SUMPRODUCT which would be the better approach in my opinion.
So the Formula in H4 would be:
=SUMPRODUCT(SUMIF(A2:A7,G1:J1,INDEX(B2:E7,0,MATCH(G5,B1:E1,0))))
Your formula would be:
=SUMPRODUCT(SUMIF(A2:A462,AC1:BD1,INDEX(B2:AA462,0,MATCH("June",B1:AA1,0))))