Answered
Why I can't activated my adobe font after re-open a file?
Here is my problem.
When I close and re-open my work, adobe always can't find adobe fonts although I click the 'Activate fonts' button.
Please help me answer.

Here is my problem.
When I close and re-open my work, adobe always can't find adobe fonts although I click the 'Activate fonts' button.
Please help me answer.

You should be able to activate them.
It can be an Illustrator problem, but it could also be an Adobe Fonts activation problem.
Maybe it is better to also ask this in the Adobe Fonts forum.
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