It doesn't say how it works, and the photo is a mockup!
The Burwen unit's instruction manual goes into great detail how it works. You plug the turntable directly into it, and calibrate the sensitivity to a quiet bit of groove. The TNE7000A scans for several different types of anomalies... transient spikes, frequencies beyond the range of the recording itself, and differences between the left and right channel... and when it isolates a click, it switches in its noise gate for as little as 1/10,000th of a second to eliminate the transient spike, replaces it with sound matched to the dynamics and pitch of the surrounding signal, and smooths out the waveform around the edit. All of this takes place in less than 1/500th of a second. You can invert the sound to only show what's being removed too. That makes it easy to adjust the threshold properly. When it's not removing clicks, the Burwen passes the signal through with no processing, so it's very clean.
For a while, a lot of pro studios were dumping their Burwens on ebay. They're a little harder to find now. I use mine all the time. By the way, the music never triggers the Burwen. It even hears and removes clicks that I have to strain to hear under the music.
See ya
Steve