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1. The self-executing treaties were signed by the leaders of both countries.
两国领导人签署了这些自我执行的条约。
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2. The treaty was a self-executing one, requiring no further action from either side.
这个条约是自我执行的，不需要任何一方采取进一步行动。
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3. The treaty's self-executing nature meant that it could be implemented without the need for formal ratification.
该条约的自我执行性质意味着它可以在无需正式批准的情况下实施。