How do I make sure the same value is always masked the same way?

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You may use one of these two options:

• Lookup Table (Substitution): It maps each original value to a fixed substitute. You can match exact values or Regular Expressions, and choose whether matching is case sensitive or an exact match.
• Hashing: It turns each value into a fixed-length string with MD5, SHA-1 or SHA-256. Use it for identifiers that still need to be joined or compared.