The dormant legal case surrounding Roman Polanski has started up again. A state appeals court in Los Angeles on Monday rejected Mr. Polanski’s request that the Los Angeles County Superior Court be disqualified from deciding whether his prosecution be dismissed because of alleged wrongdoing in the justice system. In the ruling, a division of the Second Appellate District Court said the Superior Court was free to consider the dismissal request. Judge Peter Espinoza had planned a hearing on this matter for Jan. 21, but the appeals court stopped it at the last minute. Mr. Polanski fled the country more than 30 years ago after pleading guilty to having illegal sexual relations with a 13-year-old girl.