The economy of the countries using the euro have emerged from recession. Across the 16 European Union countries, output grew by 0.4% in the third quarter of this year. Figures showed that Italy and the Netherlands were no longer in recession, but the economies of Greece and Spain were still contracting.

emerge from sth: to survive a difficult situation or experience (从困境或苦难经历中)幸存下来,摆脱出来

She emerged from the scandal with her reputation intact.
她在丑闻中安然无恙,名声丝毫未受影响.

emerge from recession:从衰退中摆脱出来,走出衰退