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Liverwort, or "Hepatica" is a medicinal woodland herb. Its natural habitat is the shady, wooded forest. It shouldn't hurt the garden but may not thrive in typical garden sunlight. This article has more info for you:
https://www.gardeningknowhow.com/ornamental/flowers/hepatica/hepatica-wildflowers.htm

This is common Liverwort. It is a non-vascular plant, so herbicides may not be effective. Boiling water will kill them off. Pour boiling water 2 or 3 times per day for a week or so, and it will get rid of them. Your soil will be perfectly clean for planting, immediately, after treatment, unlike with herbicides!

Here is an article that will explain a little more about these plants: https://www.gardeningknowhow.com/ornamental/water-plants/liverworts/liverwort-information.htm

This is a group of plants known as "liverworts" This particular one belongs to the genus, Marchantia. They are very difficult to control.

The best way to deal with this will be solarization. This article will help:

https://www.gardeningknowhow.com/garden-how-to/projects/how-to-solarize-garden-beds-to-eliminate-garden-pests-in-the-soil.htm

Here is an article that will give you more information about liverworts:

https://www.gardeningknowhow.com/ornamental/water-plants/liverworts/liverwort-information.htm

This article should answer your question about planting bare root hepatica or any bare root plant:
https://www.gardeningknowhow.com/garden-how-to/propagation/propgen/bare-root-planting.htm

Here's an article from our site on hepatica: https://www.gardeningknowhow.com/ornamental/flowers/hepatica/hepatica-wildflowers.htm

Liverworts are considered an aquatic plant. Your soil must be very moist to have a problem with them. They spread by spores, rather than seeds or creeping rhizomes. I wonder if you meant lungwort, which is a shade plant that can spread rapidly. If hand pulling is not an option, you can smother them with a clear plastic covering for several weeks, if there are no other plants in the area you want to keep. The plastic will kill everything beneath it. Boiling water is good for killing annuals, and to a lesser degree on perennials.

Failing that, if the plants are in your grass, you may want to try a selective herbicide. If they are isolated, you can use a non-selective herbicide to eradicate them.

https://www.gardeningknowhow.com/ornamental/water-plants/liverworts/liverwort-information.htm

https://www.gardeningknowhow.com/ornamental/flowers/lungwort/growing-lungwort-flower.htm