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A post-mortem examination into the death of Peaches Geldof has proved inconclusive.
Now police will have to wait for the results of a toxicology report, which could take several weeks.
Police have been at the 25-year-old's house in Fairseat Lane, Wrotham, and are treating her death as "sudden" and "unexplained" - but not suspicious.
A Home Office pathologist carried out tests at Darent Valley Hospital in Dartford.
In a statement just released, police said they were continuing their investigation into the mother-of-two's death.
When the post mortem is complete, North West Kent coroner Roger Hatch will then decide if an inquest should be opened and adjourned.
It means Peaches' grieving family will now have to wait weeks before discovering exactly how she died.
If an inquest is opened, it will be held at North Kent Coroners' Office in Gravesend, a spokesman confirmed.
A Kent County Council spokesman said: "The pathologist is confirmed as Dr Peter Graham Jerreat, Consultant Home Office Forensic Pathologist.
"After the results of the post-mortem have been received, the coroner will officially open an investigation and decide whether an inquest is necessary."
Meanwhile, it's been revealed Peaches' sister Pixie has pulled out of her DJ set at the Coachella Festival after the death.
She was scheduled to play the Old Navy Oasis event on April 12 in Indio, California, but organisers say she is no longer participating.
The post mortem comes as it was revealed Peaches had told a magazine just weeks before her death she “had the perfect life” and was “happier than ever”.
The 25-year-old former model claimed that after having two young children “being a mum is the best part” in a poignant last column for a magazine.
Her second column for Mother & Baby magazine told how she had found happiness in motherhood after her “wild past”.
But, just weeks later, emergency services were called to Peaches' house in Wrotham at 1.35pm on Monday "following a report of concern for the welfare of a woman".
A Kent Police spokesman said earlier this week: "The death is being treated as a non-suspicious, but an unexplained sudden death."
Her death came just hours after Peaches paid tribute to her mother Paula Yates, whose fatal heroin overdose 14 years ago aged 41 had dominated her life.
Peaches, who was 11 when her mother died, uploaded a touching picture of the pair together on her Instagram account with the simple message: "Me and my mum".
Tributes have been pouring in for the 25-year-old mother of two, both from her local community and from celebrities.
Peaches' father Sir Bob Geldof - who lives in Davington, near Faversham - said he is "beyond pain" and her older sister Fifi paid tribute to her with a touching photo of them as children.