Aivazovska initially studied Ukrainian philology/anthropology and journalism at the National Bohdan Khmelnytskyi University in Cherkasy. She completed the Democracy and Human Rights Programme at Stanford University's Center for Democracy, Development, and the Rule of Law as part of a fellowship. She also studied law at the Taras Shevchenko National University in Kyiv.

Aivazovska has participated in various leadership training programs, including at the Aspen Institute in Kyiv and the Ukrainian School of Political Studies, aimed at promoting fairness, trust, and dialogue in public policy. She has been involved in election monitoring in Ukraine since 2001 and served as the head of the regional youth organization "Young Enlightenment'' in Cherkasy. Aivazovska is the editor-in-chief of the all-Ukrainian newspaper "OPORA's Point" and the chairperson of OPORA's board of directors since 2009. She has been recognized as one of the most powerful women in Ukraine and is a member of the board of the International Renaissance Foundation. Aivazovska coordinates political programs in various countries to ensure the integrity of electoral processes and strengthen accountability.

She is critical of the misuse of political parties and works towards democratic education through exhibitions, speeches, and interviews. Aivazovska has observed that Ukraine has 370 political parties, which is average compared to other European countries, but she highlights the manipulative use of parties. She strives to engage the population in democratic education.