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Exclude rows based on date field

We have a certificate table ties to the customer table containing the following fields:

Customer No. (key)

State (key)

Certificate No.

Effective Date (key)

Expiration Date

I'm trying to create rows which include any row where the expiration date is in a specified range and excludes any of those rows where a new certificate with an effective date on or after the beginning of the specific date range exists.  In effect, we are looking for those customers where we need a new certificate since the existing one is almost expired and we have not yet received a new one.  I can't seem to figure out how to exclude the certificate lines where we already have the new certificate.  Any ideas?

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