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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _log_linear_interpolation(predictions):
 """ Returns averaged and re-normalized log probabilities """

        log_probs = utils.average_arrays([p.log() for p in predictions])
        # pylint: disable=invalid-unary-operand-type
        return -log_probs.log_softmax()