双方の合意に基づきの英語

by mutual agreement

Based on the contract

by common consent

to have an arrangement with others to deceive a third party

Both parties have consented.

by virtue of a contract

Let us hear both sides!

of a person, to act as an agent

（親なら）Both parents are living―（物なら）―Both are there.

pursuant to our agreement

I will consult the interests of both parties.

both parties agreed on the excision of the proposed clause

by (mutual) agreement

a two-way treaty

of two conflicting sides to reach a compromise

an agreement between two parties that is sanctioned by the court

of two parties in conflict, to come together

a legal action reached based on the mutual agreement of both parties involved

as contracted

two parties that are in opposition to each other

to establish a mutual understanding between the two

to establish a mutual understanding between the two

under the terms of this agreement

a written agreement resolving a dispute between two parties

the mediated settlement brought satisfaction to both sides

a compromise between two views

both of the two concerned parties or sides

a reconciliation between the two nations

A contract has been concluded between the two parties.

agree to contract terms