This is from the site Bring a Trailer (https://bringatrailer.com/) ...
This 1964 Velocette LE MkIII (frame 641634) is being offered as a running, mostly original bike in need of some mechanical attention. Cosmetics look decent, with an attractive, light patina covering most surfaces, but one of the twin cylinders has a compression issue and fires erratically. These bikes were originally conceived as inexpensive, comfortable, and easy to operate machines, but advanced engineering kept prices high, and the model eventually became best known for its adaptation by British police. This one might be tricky to fix, but definitely seems worth the trouble. Find it here on eBay in Costa Mesa, California with reserve not met.
Paint is noted to be original with the exception of a few small areas that have been retouched. There’s some light oxidation present here and there, but none seems to have advanced further than the surface and could probably be stopped from progressing fairly easily. The seat cover is also said to be original, and the somewhat dingy panniers appear to be as well. Tires look old, but hold air and have plenty of tread remaining.
Instruments on these MkIII models were moved from leg fairings to a more conventional location on the headlight housing–also note the interesting ignition placement. Paint oxidation is a bit more noticeable here, and gauge trim shows some pitting. Instrument glass is a bit cloudy as well. The two gallon fuel tank just aft of a high-mounted glovebox is noted to have been cleaned and painted.
These 192cc four-strokes were water-cooled, rubber mounted, and heavily silenced. As a result, they’re reportedly unusually quiet and comfortable to ride. Eight horsepower might not sound like much by today’s standards, but it was plenty for the style of riding this bike was designed for. This motor has over 27k miles logged so far, but will need a rebuild as the right piston currently misfires.
The carb and fuel petcock were rebuilt at some point, and the bike retains its factory 6V electrical system. While not as cool or quirky as the earlier model’s hand-operated shift lever, this one’s pedal shift 3-speed gearbox is said to operate smoothly. The kick-start lever isn’t currently working, though the seller says it can be bump-started easily.