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to boil down; to concentrate (soup, milk, stock, etc.)
to reach a conclusion; to conclude a discussion
ソースをとろみが出るまで煮詰める。
Boil down the sauce until it thickens.
議論を煮詰める必要がある。
We need to refine the discussion.
煮詰まって疲れてきた。
I'm exhausted from being stuck.