Can I  use these mulberries?

Can I use these mulberries?

The Boy got a long pruner and clipped the branches of the mulberry tree out back. It needed to be done, they were touching the house, they grew so much. The branches that he clipped are loaded with mostly unripened mulberries. I was wondering if it would be feasable to pick the berries, put them in a large container with a banana or something to ripen them and make some jam. Only a very few of the mulberries are red but many are full sized. What do you guys think?
mimosa, mmm!

mimosa, mmm!

My room

My room

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weird weather

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Avocado Sprout

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My room!

Broccoli Harvest!

Broccoli Harvest!