Jordan, who is on loan at Crystal Palace from Swansea City, opened the scoring for his country in the fourth minute of the match.
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Watch video highlights of Ghana's 2-0 win over Ethiopia
It was the perfect return to the Black Stars squad for Jordan, who along with his brother Andre, last played for Ghana in a World Cup qualifying draw with Congo Brazzaville in October 2017.
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He added a second from the penalty spot midway through the first half.
The result puts Ghana second in Group F on six points from three matches. They are a point behind leaders Kenya who have played one game more.
Kenya's home match against Sierra Leone this weekend was cancelled because Sierra Leone are still serving a global ban from football.
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It means the qualifying picture for Group F remains unclear.
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