The phrase "advised closely" is correct and usable in written English.
It can be used when indicating that someone has been given guidance or recommendations with careful attention to detail.
Example: "The committee was advised closely on the implications of the new policy changes before making a decision."
Alternatives: "counseled carefully" or "guided attentively".
Uncle Dave advised me closely on the choice of apparatus — test tubes, flasks, graduated cylinders, funnels, pipettes and burettes, a Bunsen burner, crucibles, watch glasses, a platinum loop, a desiccator, a blowpipe, a range of spatulas, a balance.
The promotion of Vadera, who advised Brown closely on the recent rescue packages for failing British banks, will be seen as offering him an alternative voice on economic policy from the Treasury.
But before applicants see that figure and decide that the test is discretionary, they would be well advised to closely examine the admissions policy of each school to which they plan to apply, said Angel Perez, the dean of admissions at Pitzer College in Claremont, Calif.
Although no warnings were issued, boaters in Newfoundland were advised to closely monitor the storm.
Author and consultant Rob Garner advises to closely watch trends and buzzes to see what people are talking about and opportunities to join the conversation.
(Then again, that guy was known as the "Angel of Death", so maybe it would be bad PR for Corbyn to follow his advise too closely – but you get the idea).
Buyers are advised to look closely at a product's details.
The F.D.A. said it was still gathering information about the drug, but advised doctors to closely monitor patients taking Chantix for behavior changes.
In 2014, I interviewed Francis Bator, an economist who worked in the Johnson Administration and closely advised the President on international monetary policy, about Operation Goldfinger.
In developing this ambitious agenda, Cameron had been closely advised by Paul Collier. "This is Africa's big opportunity," Collier told me.
