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                           general:: 
                            Phrase(s): dwindle away (to something) [and] dwindle down (to something) 
to shrink, contract, or diminish to something.  •  The noise dwindled away to nothing.  •  It just dwindled down and was gone.
                        
                        
 
                        
                            McGrawhill's American Idioms And Phrasal Verbs