Forensic teams have been seen combing the area as police appeal for anyone with information to come forward.
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Police were called to the scene in Beeston after a gunshot was fired at house.
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The shot was fired at about 11pm on Tuesday, November 3 but was not initially reported to the police.
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It was reported to the police at about 4.45pm on Thursday, November 5.
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Firearms officers then attended and confirmed the damage was consistent with a gun shot.
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Detective Chief Inspector Fiona Gaffney, of West Yorkshire Police Firearms Investigation and Prevent Team, said: “The criminal use of firearms on our streets is always something we treat extremely seriously.