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Michigan is one of the US states hardest hit by the coronavirus, with 3,788 Covid-19 deaths.
More than 41,000 infections have actually been taped across the state, with many found in the Detroit metro area.
Thursday’s protest, called the “American Patriot Rally”, was organised by Michigan United for Liberty.
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Some protesters were allowed to get in the structure after their temperature was checked.
It is legal to bear guns inside the statehouse, and a number of demonstrators were openly bring weapons in the