The button "Edit Default Order Statuses" does not appear.

The "Edit Default Statuses" button does not appear since Magento 1.5 version when Magento introduced it's own system for editing default statuses (System -> Order Status).
The "Edit Default Statuses" button shows up only on Magento 1.4. In more recent Magento versions that button has no sense.

See more details on Order Status page
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