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President Vladimir Putin had earlier signed a law implementing a moratorium on participating in the CFE.

Does the sentence below have the same meaning?

President Vladimir Putin had earlier signed into law implementing a moratorium on participating in the CFE.

Thanks
LiJ
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I prefer the below sentence, but they should mean the same thing.
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LiveinjapanPresident Vladimir Putin had earlier signed a law implementing a moratorium on participating in the CFE.

Does the sentence below have the same meaning?

President Vladimir Putin had earlier signed into law [the bill, document] implementing a moratorium on participating in the CFE.

Thanks
LiJ
The second sentence is a little more common, but it needed a direct object.
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Comments  
Many thanks, Vorpar. Emotion: smile

LiJ
 Philip's reply was promoted to an answer.
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I understand how to use 'sign into law.' Many thanks, Philip. Emotion: smile