The people in charge get voted in by a minority of the people who go to vote - which gets even worse if you account for people who are eligible to vote but abstain.
Except for a couple examples in the US, I'm not aware of democratic countries where this has actually occurred.
And in the US, it's not a common occurrence.
What do you mean by "voter presence"? And 50% of what? Of registered voters? Of people eligible to vote?
Because statistics would beg to differ. [^1]
It might hold for european elections [^2], as almost nobody seems to care about those, leading to a low turnout, but that definitely isn’t true about national elections.
[1]: https://www.weforum.org/agenda/2018/11/these-countries-have-...
[2]: https://www.forbes.com/sites/niallmccarthy/2019/05/27/europe...
This paper discusses minority governments in Australia between 1989 and 2009, a period of two decades in which there have been at least ten examples of this political phenomenon in the Australian States and Territories.
https://www.parliament.nsw.gov.au/researchpapers/Pages/minor...
If I was paying any attention at all recently it was on the fact that we've had at least a few minority governments since 2009 also.
Finland is having a minority government now too:
With all of the votes counted on Sunday, the right-wing National Coalition party (NCP) won 20.8% of the vote, with the populist, nation-first Finns party scoring 20.1%. Marin’s SDP took 19.9% of the vote. Voter turnout was 71.9%.
https://www.theguardian.com/world/2023/apr/02/sanna-marin-fi...
There is nothing undemocratic about federalist republics. Or parliamentary democracies that require coalitions to rule. They are simply different kinds of democracy.