The correct spelling of the phrase "study at lie" is actually "study, a title". The pronunciation of "study" is /ˈstʌdi/ and the word is followed by a comma, not the preposition "at". The next word, "a", is pronounced /ə/ and is used as an article. Finally, "title" is pronounced /ˈtaɪtəl/ and refers to a person's position or status. It is important to use correct spelling and grammar in academic writing to avoid confusion and inaccuracies.