[Carlos Silva] "About the ZoomH1 low-cut filter, do you think it could be useful/recommended in someway to cut air conditioner sound, car traffic sound from the streets, telephones ringing from next door offices? "
It could help with a low rumble of an air conditioner but not the higher frequencies, and definitely not traffic or a telephone. The "low" in low-cut stands for "low frequency". It has the exact same effect as using the Track EQ in Vegas and cutting the bass/low end. It does not perform noise reduction of any kind, just bass/low frequency reduction.
To reduce air conditioner noise you need something which does broadband reduction. I use to recommend BIAS Sound Soap but BIAS went out of business. It looks like AVID still sells it so maybe they support it now but I would definitely check before buying. Otherwise you'll need something more expensive like iZotope RX2 or Sony Noise Reduction.
For noise like traffic or telephone, you definitely need something like iZotope RX2 or Sony's new Spectral Layers Pro and plan to spend a lot of time removing it. It's not a magic button by any stretch of the imagination... it's more like surgery.
~jr
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