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"We found the solution even on that toughest of issues," the U.S. trade official told Reuters in a briefing on a tentative deal struck over the weekend in Tokyo on the proposed Anti-Counterfeiting Trade Agreement.
More:US, EU agree on food names in anti-counterfeit pact-UPDATE 2
What is the meaning of "that toughest of issues" here?
Can I replace the bold phrase by "even on that toughest issues"?
Can I rewrite the phrase as follows?
"even on the agreement that is the toughest of issues"