#2 is standard English. #1 is a little less than standard.
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AnonymousDo you want that we start studying English?This sounds like a foreigner struggling to learn English.
AnonymousDo you want us to start studying English?This sounds like a native speaker.
AnonymousWhat do you mean with the "two objects" in your post?That's not part of the post. That's the forum system software suggesting other topics that might be of interest to you.