"be" is required.
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cho7712... Does 'let' require 'be' when passivized?In your examples, 'let' is not passivized. Rather, 'write a letter' is passivized. (If you passivized 'let', 'I let her' would become 'She was let to', and this construction is so rare that it is considered ungrammatical by most grammarians.)