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sql - join on multiple columns

I have two tables (Table A and Table B) which I want to join on multiple columns in both tables.

Table A                         
Col1     Col2                
================            
A11      A21                 
A22      A22              
A33      A23                 

Table B 
Col1     Col2   Val 
=================  
B11     B21     1  
B12     B22     2  
B13     B23     3  

I want both Columns in Table A to join on either of Col1 and Col2 in Table B to get Val.

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Agree no matches in your example.
If you mean both columns on either then need a query like this or need to re-examine the data design.

    Select TableA.Col1, TableA.Col2, TableB.Val
    FROM TableA
    INNER JOIN TableB
          ON TableA.Col1 = TableB.Col1 OR TableA.Col2 = TableB.Col2 
          OR TableA.Col2 = TableB.Col1 OR TableA.Col1 = TableB.Col2

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