Almost 200 officers are involved in the separate inquiries
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The "brutal" murders of two women in Glasgow within 24 hours are not connected, detectives have said.
The partially-clothed body of Moira Jones, 40, was discovered in Queen's Park on Thursday morning.
On Friday morning, trainee manager Eleni Pachou, 25, was found stabbed to death in a restaurant kitchen.
Police said they were looking at known sex offenders in the Queen's Park area. They said robbery was a possible motive for Ms Pachou's murder.
Senior officers said it was clear the murders were carried out by different people, because they involved different methods and motives.
Ms Pachou, who was originally from Greece, met a "horrific" death, police said.
Detectives believe she was involved in a violent struggle in Di Maggio's restaurant, in Ruthven Lane in the city's West End, as the premises closed late on Thursday.
Police appealed for anyone who saw Ms Jones park her car to contact them
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Ms Pachou's body was found by a cleaner at about 0820 BST on Friday.
Police want to trace an individual she spoke to on the phone, a short time before she was attacked.
Det Ch Insp Michael Feighan said: "We established that before midnight she received a phone call at the restaurant which was overheard by other members of staff.
"She had arranged to meet a person and we would ask the person who made that call to contact us as a matter of urgency."
Officers investigating Moira Jones' murder said she had been visiting friends on Wednesday night, then drove home and parked her car.
'Out of character'
But they said her apparent decision to go into Queen's Park that night was completely out of character.
They want to know why that happened.
It has not yet been revealed how the businesswoman met her death but police said it was a "brutal and violent attack".
Her body was found by a park ranger at about 0945 BST on Thursday.
Det Supt Ruaraidh Nicolson, from Strathclyde Police, said 198 officers were working on both cases.
"There is no connection between those inquiries," he said.
"As part of the overall investigation so far we have carried out painstaking forensic examinations and that has taken quite some time."
He said inquiries were ongoing to establish the last movements of the two women.
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