Officers have charged two men over their alleged plans to hold an anti-lockdown protest in the Melbourne CBD on Sunday.
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The men, both 41 from Melbourne's outer eastern suburbs, were charged with incitement.
Victoria Police could not confirm if the protest was still expected to proceed.
While daily coronavirus case increases in Victoria appear to be stabilising the premier can give no assurance that Christmas 2020 will be a normal one.
"What I would want to do is make sure there are as many people at Christmas dinner as possible," Daniel Andrews said on Saturday.
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"Until we get the vaccine, it is going to be part of our lives, but it is not about going back to normal, it is about finding COVID-normal."
The state reported 466 new cases on Saturday, 450 on Friday and 471 on Thursday.
Another 12 deaths in the 24 hours to Saturday, including a man in his 30s and six deaths linked to aged care, brought the state's toll to 193.
Chief Health Officer Brett Sutton found the positive message in the numbers - that 400-500 daily averages meant stabilisation, rather than exponential growth.
"But we can't have 500 cases every single day and the associated morbidity, hospitalisation, intensive care requirements and debts that are associated with that number every day," he said.
Metropolitan Melbourne has been under tough stage-four restrictions for a week but residents won't see the results of their efforts for another one to two weeks.
Almost 200 Victorians have been fined for breaching the state's restrictions, including a man caught breaking curfew to buy cigarettes and lollies.
Victoria Police did 3554 spot checks on homes, businesses and public places in the 24 hours to Saturday morning, fining 197 people for breaching the chief health officer's directions.
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Meanwhile, Melbourne researchers are looking for infected people to participate in a trial of an antiviral medication that could speed up their recovery.
The Alfred hospital and Monash University are enrolling symptomatic people in the first five days of diagnosis to trial Favipiravir, a drug originally developed to treat influenza.
-AAP
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