Is using ibid. allowed for in-text citations? If so, how is it done?

Note: This post relates to content in the eighth edition of the MLA Handbook. For up-to-date guidance, see the ninth edition of the MLA Handbook.

MLA style avoids ibid. and op. cit., using short titles instead, on the principles that (1) a short title makes your reference clearer to readers, not requiring them to look back in text, notes, or documentation, with a groan, to find what exactly the abbreviation is pointing to, and that (2) the days of expecting an educated person to know Latin and Greek are over—i.e. and e.g. notwithstanding. QED.