The phrase "abandoned directly" is grammatically correct and can be used in written English.
It can be used in contexts where something is left or forsaken in a straightforward or immediate manner.
Example: "The old factory was abandoned directly after the fire, leaving it to decay over the years."
Alternatives: "left immediately" or "forsaken outright".
As we spoke, a sniper was visible in the distance, positioned on the roof of an abandoned building directly opposite the base.
A year later, "La Hamaca" is still being held by Sotheby's, awaiting a settlement between the competing claimants -- a familiar standoff for works of art from Cuba that were lost, abandoned or directly confiscated as Fidel Castro's government took control.
A trauma, an abandoning parent, directly or vicariously experienced acts of religiously-themed violence, witnessing a corrupt society professing piety – there are many things that can cause a person to leave their faith.
Observers say there are fewer children coming into licensed adoption agencies because of a thriving illegal market that siphons off abandoned infants from hospitals directly to couples.
Companies like Starbucks and Amazon.com have abandoned deals after investing directly in dot-coms like Living.com and Kozmo.com, only to see them fail.
It was not until 1960 that he abandoned Abstract Expressionism to directly engage the techniques and iconography of his commercial work.
Second: Research has been conducted in areas next to drug supermarkets or directly inside abandoned buildings used by the most sordid junkies.
His confession has the plotters digging a tunnel toward their target during one of the several prorogations of Parliament, abandoned when the chamber directly beneath the House of Lords became available.
While most of the plastic in the ocean starts out on land washing into the sea, a huge amount is being abandoned, lost, or dumped directly into oceans by the fisheries and aquaculture industries.
Though Romney's acceptance of the nomination will mark the official end of a tradition that has varied in its rigidness - with war heroes like John McCain marking one end of the spectrum and Texas Air National Guard veteran George W. Bush at the other - it has been decades since the GOP abandoned all efforts to directly represent men and women in uniform on its ticket.
