DB2 offers a wealth of functionality in terms of its date/time arithmetic support and date/time functions. I suggest you take a look at the "DB2 SQL Reference" manual available for download from IBM's Web site to read up on DB2's date/time support. To answer your specific question, though, the following query/predicate should return the rows where the posted date is greater than 7 days from the expiry date:
SELECT COL1, COL2, ... FROM YOUR_TABLE WHERE (POSTED_DATE + 7 DAYS) > EXPIRY_DATE;
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