I was under the impression that the problem was that 'their' should only be used as a plural and here it is being singular. Meaning the sentence should read "I'm going to miss you like a child misses his/her blanket.", but I personally prefer the use of their/they in this kind of situation.
That was the issue, right?
Unfortunately when I see blatantly incorrect grammar and spelling in a someone's writing, I read it as if they have an unintelligent sounding accent, which is rather judgemental and rude now that I think about it xD



					
				
					

					
					
					
						
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