sustain

Lengthen or extend in duration or space.

“We sustained the diplomatic negotiations as long as possible”

Undergo (as of injuries and illnesses).

Be the physical support of; carry the weight of.

Provide with nourishment.

“We sustained ourselves on bread and water”

Supply with necessities and support.

“She alone sustained her family”

“The money will sustain our good cause”

Establish or strengthen as with new evidence or facts.

Admit as valid.

“The court sustained the motion”