A division bench of Acting Chief Justice Sanjay Karol and Justice Sandeep Sharma passed the orders after perusing the status report submitted by the CBI which also filed an affidavit in the court and asked for more time to complete the investigations.
The court has fixed March 28 for the next hearing in the matter.
The 16-year-old girl had gone missing in Halila in Kotkhai area of Shimla district on July 4 last year and her bare body was recovered on July 6.
One of the six accused in the case died in police custody and eight police officers, including an IG-rank officer, were arrested by the CBI in connection with the custodial death.
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Both the matters - the rape-and-murder case and the custodial death case - were handed to the CBI on July 19.
The CBI has already filed charge-sheet against eight police personnel in custodial death case and the accused are in jail but there has been no breakthrough in the rape-and- murder case.