What do you think is the best solution to show an active filter in my case? Do you have any other recommendation or thoughts? enter image description here

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I think people have learned about green checkmarks versus forbidden/deactivated symbols, so you might use that as an indicator:

Filter with icon

The meaning of checkboxes to enable and disable things would probably work as well, too:

Filter with checkbox

If you don't like two icons on one button, you could also integrate the meaning in the filter icon itself:

Filter icon modified

Do not solely rely on red/green color. The shape should also change, so that people with red-green blindness have a chance to notice the difference.

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