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Combine If Isblank And Concatenate Functions

I have to columns

Column H = Department
Column I = Group

Some cells in column H are blank, some cells in column I are blank. I want to test for blanks and:

1. If cell in column H not blank, show contents, else "No Department"
2. If cell in column I not blank, show contents, else "No Group"
3. If both cells in columns H and I blank, show "No Data"

I have written the formulation below, individual parts work but not this combination, ie results column J, Union. Would appreciate any help to understand what I am doing wrong when combine.

=IF(H2="","No Dept",IF(I2="","No Group",IF(H2:I2="","No Data",CONCATENATE(H2,": ",I2))))

Department Group Union
Big Small #VALUE!
Hi Low #VALUE!
Black White #VALUE!
Oil Water #VALUE!


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