A less elegant way to express this might be '. . . achieve broadness and greatness while keeping a focus on / speaking of / taking care of / seeing to the delicate and minute . . .' 「...attain to the broad and great while addressing the delicate and minute」I copied it from political statement.

Hi. This sentence uses the word "address" meaning to talk to/speak to. For example: The president addressed the crowd at the meeting.