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The phrase "are likely to erode" is correct and usable in written English.
It can be used to indicate a probability or expectation that something will gradually diminish or wear away over time.
Example: "If we do not take action soon, the trust between the two parties are likely to erode."
Alternatives: "are expected to diminish" or "are prone to decline."
Exact(14)
These differences are likely to erode with time.
Regional elections in November are likely to erode his near-monopoly of power.
The university's secular society has also protested.In the end, financial imperatives are likely to erode such concerns.
In recent months, China's leaders have clamped down on what they call online rumours that are likely to erode communist party rule.
Mapping technology and crowdsourcing of traffic data are likely to erode such barriers to entry as needing detailed knowledge of a city's streets.
Now, changed European Union rules, and expected rulings from the World Trade Organisation, are likely to erode that protection from 2006.
Similar(46)
Such heated language, littered with catchphrases like "espionage mission" and "covert surveillance," is likely to erode trust between China and the United States and to foster more of the mutual suspicion that has festered over the past few years.
It's likely to erode the credibility of the SSA".
Moreover, as budget surpluses mount, support for continued fiscal restraint is likely to erode.
Continuing with the status quo, where measurements and models are dealt with separately, is likely to erode summative predictive capacity.
An expansion of AUM increases the fee income collected by fund managers, but is likely to erode fund performance due to diseconomies of scale.
More suggestions(17)
are likely to harm
are likely to deteriorate
are likely to restrict
are likely to violate
are likely to affect
are likely to encroach
are likely to hinder
are likely to sap
are likely to constrain
are likely to hamper
are likely to lessen
are likely to undercut
are likely to cripple
are likely to destroy
are likely to impair
are likely to reduce
are likely to disturb
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com