The phrase "dig further into" is grammatically correct and is often used in written English.
It means to delve deeper into a topic or subject. Example: "I really want to understand this complex issue, so I'm going to dig further into the research and gather more information." In this sentence, "dig further into" is used to indicate the speaker's intention to explore the topic more thoroughly.
Without the IMF money, the government would have to dig further into its reserves.
I draw more on Weick's thinking and dig further into the steps that it takes to lead a good fight in Good Boss, Bad Boss.
The US secretary of state's two-day trip has seemingly led Saudi Arabia and Turkey to dig further into positions that are starting to seem irreconcilable.
Perhaps it's better for a student to take the college-level course, dig further into the topic and hone their understanding than it is to push ahead.
To dig further into the data, The Washington Post opted to define middle class as American households with incomes that fall between the 30th percentile mark and the 80th percentile mark.
In addition to a call for larger study populations focused on traditionally underrepresented populations, I would also advocate for greater integration of the excellent functional databases and tools, as well as further collaboration and crosstalk between statistical/population geneticists and molecular biology scientists to dig further into underlying biological mechanisms.
The banker, apparently still a young man, grows more chagrined as he digs further into absurdity.
Researcher Jennifer Mendelsohn, with whom Pattangall shared her research, dug further into Kelly's family history.
Though the sum it requested was modest - £1,812 for a year's membership - he also realised it was a "voluntary" levy and started digging further into the matter.
We dug further into the bid request logs and found users that are traversing back and forth between these sites sometimes at rates exceeding one advertisement per three seconds for a period of weeks".
How about looking for a source who has dug further into the subjectivity of mainstream cultural definitions of what passes for "order" — those who defend and have not died from their clutter?
