I have access to wax begonias and coleise.
This may be helpful https://content.ces.ncsu.edu/plant-propagation-by-leaf-cane-and-root-cuttings-instructions-for-the-home-gardener
Begonia leaf cuttings can be rooted in water. When the roots grow, transfer to pots. Coleus can also be started in water.
This is a Hometalk post for African Violet leaf cuttings but it's basically the same. https://www.hometalk.com/13450626/2-ways-to-root-african-violets-from-leaf-cuttings
Just put them in some water and when the roots grow, plant them in soil.
Hi Janyce: Take cuttings without blooms but at least two nodes, and bury them in the moist potting soil mix, then leave in a warm, semi-shaded spot until new growth appears.
Here's a site that tells you all about it:
For the coleus,
Take a cutting from a mature coleus plant: Look for stems that are 4 to 6 inches in length. ...
Remove extra leaves. Remove the lower leaves, leaving the top set of four leaves. ...
Put coleus cuttings in water. ...
Watch the coleus root. Plant rooted cuttings.
check that pin https://www.pinterest.com/pin/556264991460812622/
Hi! I start the roots first in a small glass container in water. There is also rooting hormone you can buy.