支持 の訳語→ advocacy auspice campaign support sustainment underpinning
手を出す の訳語→ chase do indulge take touch
承認 の訳語→ acceptation accession acknowledgment approbation sign-off
同意 の訳語→ accedence agree agreement approval assentation buy-in commitment concordance endorsement
認める の訳語→ accept acknowledge admire admit attribute aware believe bless concede conclude consider deign establish expose give sb credit grant identify ken know notice realistic realize recognize say see self-identy show think write