Check this out, his saw is bigger, but Im sure you can pick up on something.
https://www.garagejournal.com/forum/showthread.php?t=34928
https://www.garagejournal.com/forum/showthread.php?t=34928
T
I've had the gearbox in, out and apart three times. I just can't get it to shift between gears reliably. It will either be in high and smash dogs going into low or vice-versa. With careful fiddling of the selector shaft by hand and slow manual rotation of both the input and output wheels I can get it to stay in one or the other gear.
That was once a great thread but its current value is next to zero with all of the pic links broken.
Not clear from your description, but you're not shifting gears under power, are you? The standard method is to shut it off, and then flip the lever. Low to high on mine is usually easy, high to low usually takes a little jogging of the wheels.
And on mine, the lever itself retains the shifting rod in position. I honestly don't know if mine would "pop out of gear" if the lever were gone, but with it in place, it basically can't switch on it's own.
Doc.
I also have a 16" ML. The two speed shifter has a placard that says to shift only at low speed. I took that as the saw needs to be at the slowest blade speed per setting and shifted while the saw is running. That is how I've always done it and it's worked well, with no resultant problems.