There are two components of haze in these images - for lack of a better way to describe it - the overall haze that appears to be present, even in the foreground and the atmospheric effect of haze suggesting distance, where things far away lack contrast compared to things in the foreground. If you want to cut some of the overall haze to bring out the foreground, that is probably a good move - removing all of the haze effects will probably detract from the images, in that the distant features will appear unnatural and the sense of distance will be removed.
Haze tends to decrease contrast and lower saturation - if haze has a color to it, it may also tint the image, requiring a different white balance to neutralize it.
Kolor-Pikker's local adjustments address the nature of the above description of the haze components and their overall effect on the image. The key is to remember the depth effect and not to overdo it.
In the attached image, I concentrated on the middle ground ridge - i added some contrast by pulling in the black point and adjusting the gamma. This darkened the area, so I boosted the exposure slightly to bring the tone back to the original. I added some vibrance and then some local contrast with a high-pass in overlay mode. Finally, I added some blue to the sky - I should have added the blue to the background trees as well as the haze here is brownish smog, so some blue would neutralize that color.
The effect is subtle, but it cuts through the haze in the middle ground. There is a lot of JPEG compression artifact, I apologize for that.
Season to taste.
kirk

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