In Parasite we saw there are a couple of cameras around the house (one in the garden and the other one outside the house, I think in front of the garage) that can prove to the police where Ki-taek escaped.
Why didn't the police check the cameras?
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There are two explanations:
Some of the visual / logical hints are:
My personal interpretation is:
When Moon Gwang (the original housekeeper) visits the house, while the absence of the family, to look after her husband in the basement, she mentoined to Chung Sook (the new housekeeper), that she cut the cables of the camera(s), so that no one would know, she was there.
Later, when Ki-taek escapes, you can see a short shot of the camera(s) with the cable still cut.
That's why the police was not able to have a look at the camera recordings.