The Spanish is alright, the subjunctive tense is necessary here! It tends to be used when there's an element of contradiction in the sentence:

"El hecho de que se haya puesto a llover no va a impedirme dar un paseo"

But not always:

"No me gusta el hecho de que me critiquen"

I can't think of an example of "el hecho de" without subjunctive. Maybe you want to ask about the use of this expression in a Spanish monolingual format.

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Note added at 2002-05-13 13:13:17 (GMT)
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Here\'s a good page for doubts you might have with the Spanish subjunctive form: http://www.escuelai.com/gramatica/oraciones-conc.html