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Dissuade
Negative Connotation
Dissuade carries a sense that the action being discouraged is potentially harmful or undesirable. 
Strong Persuasion
Using 'dissuade' implies efforts to persuade someone with strong reasons or arguments. 
Collocation Usage
'Dissuade from' is more common when talking about an action, 'dissuade against' is usually for general ideas or decisions. 