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Discover LudwigThe phrase "are shifting further" is correct and usable in written English.
It can be used to describe a gradual change or movement in a particular direction, often in a context related to trends, opinions, or positions.
Example: "As the market evolves, consumer preferences are shifting further towards sustainable products."
Alternatives: "are moving further" or "are progressing further".
Exact(3)
It is surely a signal that the Tories are shifting further back towards being a "low tax, low spend party".
As the British Trust for Ornithology has discovered through its monumental Atlas survey of Britain's birds, the willow warbler is just one of several species of songbird whose ranges are shifting further north and west – almost certainly as a response to global warming.
Now 48, the MP for Meurthe-et-Moselle in the Lorraine region is seen as a key weapon in Sarkozy's fight to stop voters fleeing to Marine le Pen of the Front National, particularly the working class who are shifting further towards what the FN presents as a more‑palatable, feminised face of the extreme right.
Similar(57)
The addition of a 5' phosphate does not change the position of these cleavage sites, but does significantly alter cleavage site preference - the preferred cleavage sites are shifted further away from the point of strand exchange, with increased levels of cleavage at sites b, c and d (Figure 4A and B).
The mirror force does not affect the radial profiles but particles are shifted further upstream to the inboard side along the field lines.
One notes that of the eight hospitals that were classified as high-mortality outliers at least once, those hospitals that were identified as such more frequently tend to have posterior distributions that are shifted further to the right compared to hospitals that were identified less frequently.
… research funding is shifting further away from social sciences and humanities.
Worryingly, the BBC has been shifting further on to the government's books of late – in small but significant formal respects.
Ed Davey, another former Liberal Democrat cabinet minister who lost his seat, said Farron was one of the luckiest Lib Dem leaders ever, as he found himself with a lot of political space to occupy while Labour was far to the left and the Conservatives were shifting further to the right.
The findings of the study published on Nov. 9, 1999 reveal that due to increased investing in stocks and mutual funds by U.S. workers, public opinion is shifting further toward investor-friendly policies such as lower capital gains taxes, and away from government-sponsored programs such as Social Security.
But there had been signs long before Sunday's vote that eastern Germany had been shifting further to the right.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com