We can suppose that the Three were invisible depending on the will of the bearer: Gandalf didn't reveal Narya (?) until the end and I think Frodo saw Nenya (?) not until Galadriel decided to show it to him. But the Three don't make ther bearer invisible. The Nazgūl became invisible because they served the Dark Lord too long, not because they wore the Nine too long. So we can suppose only the One Ring out of the 20 Rings of Power rendered invisible.
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