To move forward in a purposeful way.

आगे बढ़ना

English Usage: We need to advance our understanding of climate change.

Hindi Usage: हमें जलवायु परिवर्तन की हमारी समझ को आगे बढ़ाना होगा।

An improvement or progress in a particular field or area.

उन्नति

English Usage: There have been significant advances in technology over the past decade.

Hindi Usage: पिछले दशक में प्रौद्योगिकी में महत्वपूर्ण उन्नति हुई है।