The phrase "accepted as serious" is correct and usable in written English.
It can be used when discussing whether something is regarded with seriousness or credibility in a particular context.
Example: "The theory was finally accepted as serious after extensive peer review and validation by experts in the field."
Alternatives: "recognized as legitimate" or "considered credible".
"There are important public policy reasons that this should be accepted as a serious offence because of the good order of the detention centre and it places other detainees at risk of serious harm and injury that good order is disturbed," Lane said in her sentencing remarks.
The inner conflict was always there: he adored rousing rabbles, and yet yearned to be accepted as a serious politician, even a peacemaker.
A few years ago, the physicist Alan Sokal concocted a deliberately meaningless parody under the title "Transgressing the Boundaries: Toward a Transformative Hermeneutics of Quantum Gravity," and then got it accepted as a serious contribution to the journal Social Text.
"How far do you want to take it?" Post-traumatic stress disorder was first identified during the Vietnam War and has gradually been accepted as a serious psychological problem for some who experience violence and fear.
A religious student, too young to be accepted as a serious religious authority, he has used the latent power of his militia to gain a voice in Shiite politics matched only by Ayatollah Sistani, who is in his 60's and is said to view Mr. Sadr with an intense personal distaste.
After leaving, he found that he was considered a dilettante, which resulted in it taking him longer than expected to be accepted as a serious actor.
I congratulate you and you deserve it!" Frustrated at not being accepted as a serious actor, Leno became obsessed with the idea of playing Richard III and other great Shakespearean roles, inundating the actor manager Herbert Beerbohm Tree with his proposals.
He has won the right to be accepted as leader, although serious doubts remain about his ability to do the job, and he will have the benefit of none of them.
