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Google Advanced Search offers some additional features that you might not know about. This includes limiting by the site domain, and by the date.
1. First, go to Google Advanced Search. This will bring up a search form with numerous additional fields. You can enter your search term, and also, the domain or browser address of the site/media outlet you want to search:
2. Run your search. You will notice that all of the results you get are from the New York Times:
3. You can narrow the date range of your results by selecting tools:
You can enter a specific custom date range. Your results will fall within that range: