Moving window across monitor when using "Maximize window left" ?

I am using two monitors. Is it possible to move a window across monitors when using the "maximize window left half" feature? Currently, it is unable to move beyond the first monitor.

I think I don’t fully understand what you want to achieve, but probably you need to use the “custom move/resize” action, there you can do lots of custom resizing

Perhaps these two actions are enough. Move a window to the next monitor and maximize the window on the left side.