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And can it be simplified to father>eldest son?
A glance at the Saxe-Lauenburg family tree here makes it extraordinarily confusing to keep it straight. Part of the reason is that there is enough inbreeding going on that its making the Habsburgs weep (with joy, probably), and also, what's with so many of the dukes marrying "older" women? I mean, Dukes August (2e wife), Julius Heinrich (wives 1e and 2e), and Princes Franz Albrecht and Franz Karl all married women that were either older than they were or at least menopausal by the time they wed. Small wonder the line went extinct.
Was Saxe-Lauenburg so unimportant that it had to make do with the cast-offs (near menopausal princesses of Brandenburg or Oldenburg etc) that the major houses threw at them? Or was there a reason why these men were marrying to women whose chances of producing an heir were slim to impossible?