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They have previously spoken of their distress that Miss Kercher had been "nearly forgotten" in the publicity surrounding Miss Knox's appeal and are expected to give a press conference later.

The prosecution is to appeal to Italy's highest court, although it appears unlikely that Miss Knox would be extradited back to Italy from the US.

An eight-member jury cleared both defendants of Miss Kercher's murder after doubts were raised over procedures used to gather DNA evidence.

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You will read the word Miss Knox would be extradited back to Italy from the US.

As this is uncertain the verb 'would' is fine. I may be wrong.

However, the word 'unlikely' is already in the sentence so it is unnecessary to write 'would' here.

You can write the following:

The prosecution is to appeal to Italy's highest court, although it appears unlikely that Miss Knox will be extradited back to Italy from the US.

What do you think?
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I don't have a problem with either version.
Comments  
Thanks MalRey

To write 'unlikely' and 'would' border tautology.

That is my point.