"it lends support to" is correct and usable in written English.
You can use it when you need to express that something provides evidence to back up a claim, or that it helps reinforce an idea. For example, "This new report lends support to the idea that global warming is responsible for the recent increase in droughts."
"It lends support to the idea that vitamin D has a role in the progression of breast cancer.
It lends support to both those who would sanction defiant politicians and those who draw the line at teaching and persuading.
This finding does not support the hypothesis that long wavelength red light reverses activated melanopsin; rather it lends support to the hypothesis that the wavelengths of stimuli driving both the forward and backward reactions of melanopsin may be similar.
And when a project fails, for whatever reason, it lends support to the increasingly popular arguments of those who insist that throwing money at Africa's problems is just more dead aid.
The lack of any appreciable signals of inflation "marks four quarters of deceleration, so it lends support to the Federal Reserve's policies," says Hembre.
This isn't all that surprising, and it lends support to the reciprocity principle.
Scientists familiar with the work said the research was important not only for the glimpse it offered of the sleeping animal brain, but also because it lent support to the idea that sleep played a critical role in the encoding and storage of memories.
First, it lent support to the belief that categories are legitimately studied in three disciplines: grammar, logic, and metaphysics, but especially in logic and metaphysics.
It also lends support to the reality of LHB.
It also lends support to the theory that parts of the brain are "dedicated" to the phonetic side of language processing, she says.
To the extent that this result is general, it also lends support to the claim that distributional patterns interpreted as ecological and reproductive character displacement in other plant species have been caused by natural selection generated by interactions among plant species.
