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By Patrick Nduwimana BUJUMBURA (Reuters) - Nearly 40,000 refugees have fled Burundi to neighboring Rwanda, Tanzania and the Democratic Republic of the Congo in the last month, amid protests against President Pierre Nkurunziza's bid for a third term, the United Nations said on Wednesday. A total of 16 people were injured in protests held in different parts of the capital on Wednesday, the Burundi Red Cross said. The opposition says Burundi's constitution and a peace deal that ended the civil war limits Nkurunziza to two terms. Chauvineau Mugwengezo, spokesman for the alliance for Democratic Change, a coalition of five opposition parties rejecting Nkurunziza's bid for the third term, accused their opponents of causing most of Wednesday's injuries.