声讨 is heavy register — it implies public, collective, often morally outraged condemnation, not just personal disagreement. Common in news headlines about war crimes, scandals, or social-media pile-ons.
history
The compound dates from classical military usage: 声 'proclaim publicly' + 讨 'punish/launch a campaign against' — originally describing how a general would issue a public statement of grievances before launching war on a vassal state.
