What about the other definition YOU posted?
I assume you mean ":
to create a false or misleading impression"
First of all note the verb "create," which denotes a purposed component, as opposed to "make," which simply means, to cause to exist.
"to create a false or misleading impression" is different than "to make a false or misleading impression." Granted it's a subtle difference, but an important one. Consider the difference between the person who creates games, and the person who makes games. Creating games implies a purpose behind their particular structure. Making games requires no such purpose, and simply signifies bringing games into existence. Period.
So how does this apply to "creating a false or misleading impression?" It denotes something more than just causing the false or misleading impression to exist. It denotes purpose. It says there is a purpose behind the structure of the false or misleading impression, which raises the question: why would one bother to create a false or misleading impression? I'll leave this to you to figure out
In the end it's quite apparent why the Merriam-Webster Dictionary didn't say "to make a false or misleading impression," but instead chose to say "to create a false or misleading impression." It signifies there is a purpose behind the false or misleading impression; It isn't any accident or mistake.
Now, M-W can get away with the word "make' in its first definition because its use of "intent" implies purpose. Essentially, the second definition is merely adding impressions to its first definition's "statements." Lies consist of both statements and impressions.
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