If there is no range (just single dates), that's easy. Just count the rows:
SELECT COUNT(*)
FROM Company_relationship
WHERE effective_date = ?
OR expiration_date = ?
If effective_date and expiration_date are begin and end dates, I bet you can do:
SELECT COUNT(*)
FROM Company_relationship
WHERE effective_date <= ?
AND expiration_date > ?
Both return one record with one field. If it's 0, proceed. Otherwise, you have an overlap.
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