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(1) I still keep the old computer in the closet in my room. It is mainly used by my parents.
(2) I still keep the old computer in the closet in my room. This/that is mainly used by my parents.
A person (non-native speaker of English) is claiming that after mentioning two things in the previous sentence, "it" refers to the first one while "that" refers to the second one. Is it true? In these example sentences, he or she claims "it" refers to "computer" and "this" or "that" refers to the closet.
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You need to use former/latter for that distinction.
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Teleostomi
A person (non-native speaker of English) is claiming that after mentioning two things in the previous sentence, "it" refers to the first one while "that" refers to the second one. Is it true? In these example sentences, he or she claims "it" refers to "computer" and "this" or "that" refers to the closet.
That works in Spanish (and in Italian, I think), but not in English.
Students: We have free audio pronunciation exercises.
Comments  
No, it's not true.
 Marius Hancu's reply was promoted to an answer.
 Philip's reply was promoted to an answer.
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Thanks, everyone! I'm relieved to hear that!

Yeah, I think so too, it is good for Spanish or Italian, but not English!