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Britain’s Vodafone Group, which would become the world’s largest wireless company after it buys AirTouch Communications Inc., said second-half net income rose 33% as its overseas customers more than doubled. Vodafone’s foreign units, which stretch from Australia to Germany, have become an important source of profit as price cuts and the cost of adding subscribers trim margins. The planned $74.2-billion acquisition of AirTouch would further strengthen Vodafone’s international operations.