-- find examples where the 1st-column value exists on more than one second-column value to test this.

Select TOP 10 [Col_1], count(1) as countRows_outer from
(
    SELECT [Col_2]
          ,[Col_1]
          ,count(1) as countRowsInner

      FROM [OurDatabase].[dbo].[OurTable]
      WHERE
      (
        (Col_1 is not null)
        and
        (len (Col_1) > 0)
      )
      group by [Col_2] ,[Col_1] -- after studying:  Inner group by *NOT* needed
      having (count(1) >= 2) -- not really needed, but limits search set, faster query results
        --order by  [Col_1],  [Col_2] -- , countRows desc
)c1
group by Col_1
having(count(1)  >= 2) -- > 1 (per answer below, may be more efficient here)
order by countRows_outer desc

SELECT col1
FROM
    table
GROUP BY col1
HAVING COUNT(DISTINCT col2)> 1