"remain pervasive" is a correct and usable phrase in written English.
In general, it refers to something continuing to exist or have an influence in the present. For example, "Gender inequality continues to remain pervasive in many parts of the world."
Where market failures remain pervasive, for example where wildlife remains nationalized (e.g., Kenya), and in communal lands where access to resources remains open, wildlife continues to be replaced (see below).
Suicides or life-threatening risks remain pervasive in camps.
Turning to the present, Professor Johnson finds recent legislation and court decisions suggest that xenophobic attitudes remain pervasive.
But forceful measures remain pervasive, because failure to reach population control targets can end an official's prospects for promotion.
Although most of the DRC is now at peace, crime and conflict remain pervasive in the east of the country.
Affirmative action offers a way to counteract that racial bias – and the gender bias – that remain pervasive in our society.
Fear of retribution remained pervasive.
The report said corruption remained pervasive.
But that goal appears decades away, with security concerns remaining pervasive among investors, despite the introduction of key oil companies to the Iraqi market.
The younger Mr. Cuomo said that the polling he paid for in 2002, during his first run for governor, showed that the stereotypes remained pervasive.
Jakobsons said the Russian influence remained pervasive with one party, the Russian Union of Latvia, distributing leaflets saying that Latgale, in eastern Latvia, where large numbers of ethnic Russians live, should form a union with Russia.
