Resultados duplicados ao executar INNER JOIN

SELECT 
    a.id AS a_id, a.str1 AS a_str1, a.str2 AS a_str2, 
    b.id AS b_id, b.str1 AS b_str1, b.str2 AS b_str2
FROM 
    ( SELECT *
           , ROW_NUMBER() OVER (PARTITION BY str1, str2 ORDER BY id) AS rn
      FROM #A 
    ) a
  INNER JOIN 
    ( SELECT *
           , ROW_NUMBER() OVER (PARTITION BY str1, str2 ORDER BY id) AS rn
      FROM #B 
    ) b 
    ON  a.str1 = b.str1 
    AND a.str2 = b.str2 
    AND a.rn = b.rn ;