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By James Mackenzie and Gavin Jones ROME (Reuters) - Prime Minister Matteo Renzi returned from holiday this week with his customary vim, tweeting that he was back at work on a new plan to speed up Italy's sluggish justice system, reform its schools and spur investment. With Italy in recession for the third time in six years, Renzi badly needs to restore waning international confidence and show that he can finally come good on his repeated pledges to revive the eurozone's third-largest economy. The package of measures to be announced on Friday does not directly address the most visible problems like record youth unemployment or the huge public debt, but officials say it is aimed at shoring up some of the weakest points in Italy's overall economic foundations. "Our main structural deficits involve the justice system, the education system and everyday bureaucracy, so these are the areas that will be addressed," said Filippo Taddei, a senior economic policy expert in Renzi's center-left Democratic Party.