Pretty sure the ADL has a blind magazine, so you have to unload it through the action. The BDL is a hinged floorplate, and I think the stock finish is supposedly "better", whatever that means. Also has rosewood grip cap and forend tip, think the ADL doesn't.
The action, trigger, etc are identical.
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"When They turn the pages of history,
When these days have passed long ago.
Will they read about us in sorrow,
for the seeds that we let grow?" - RUSH, "A Farewell To Kings"