支持 (translations)→ advocacy auspice campaign support sustainment underpinning
手を出す (translations)→ chase do indulge take touch
承認 (translations)→ acceptation accession acknowledgment approbation sign-off
同意 (translations)→ accedence agree agreement approval assentation buy-in commitment concordance endorsement
認める (translations)→ 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