Yes, can I narrow the table based on the date order was placed? | Did  you  mean  you just  want only 	date order placed? | No. Is it possible to only receive results from orders placed from 1975-01-01 to 1976-01-01?
SELECT T1.order_id ,T2.product_id,T1.date_order_placed FROM orders AS T1 JOIN order_items AS T2 ON T1.order_id  =  T2.order_id WHERE T1.date_order_placed  > =   "1975-01-01" AND T1.date_order_placed < =  "1976-01-01"
narrowing the table based on date order placed refers to filtering results within a specific date range; orders placed from 1975-01-01 to 1976-01-01 refers to WHERE date_order_placed >= '1975-01-01' AND date_order_placed <= '1976-01-01';