What are you looking for in an apartment? There are plenty of 1BR apartments available for that price. Are you limiting yourself to neighborhood amenities? Building amenities? Do you have certain expectations that youre limiting your criteria to?

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https://www.apartmentfinder.com/Massachusetts/Boston-Apartments/1-Bedroom/q/?cd=t1r75o2trHon3pghK&nr=1500&xr=2500