"[1] Luthra currently represents former Union Minister M. J. Akbar in the criminal defamation case he filed against Priya Ramani for sexual harassment allegations she made against him during the MeToo movement in India.
[13][14] In 2021, Luthra was one of two senior advocates who appeared in the Supreme Court on behalf of Bhartiya Janata Party leader and lawyer Ashwini Kumar Upadhyay, who filed a petition seeking the uniform application of gender and religion-neutral adoption and guardianship laws throughout India.
[15][16] Luthra also represented the National Commission for Women (NCW) in its Supreme Court challenge to a Bombay High Court case involving a man accused of groping a 12-year-old girl, where the verdict was an acquittal due to a lack of "skin-to-skin" contact.
[17][18] Luthra has argued for statutory safety and privacy while implementing apps like Aarogya Setu, which are claimed to be in public health interest.
[21] In 2019, Luthra provided commentary to The Print about an order from a Nanded family court that included a provision for a man to donate sperm to his estranged wife or have his refusal be used as grounds for divorce.
[22] In 2020, Luthra participated in a public debate about capital punishment with other attorneys that was hosted by the Delhi High Court Women Lawyers Forum.