The only way to know is by hiring a local contract lawyer and getting more facts. The basic rule is that you are bound to the terms of the contract. There is a question of good faith and other possible issues that could be useful, but that is impossible to know without closer review. Moreover, the agency will take the issue considerably more seriously if you have an attorney forcing the issue. Good luck and, obviously, never sign another contract without legal advice.
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I agree with the other attorney, but just to give you a bit more perspective on what an attorney that you consult with would want to know: (a) has the agency sent you any leads whatsoever? If so, your case weakens considerably, unless you can demonstrate that the leads were completely incompatible with your profile; (b) have you rejected any opportunities, at all? If so, your case is weaker. Even if you had a serious illness, a funeral, etc. you cannot say that they made no effort whatsoever if it just happened to be inconvenient for you. (c) Have you been asking them for work, reminding them you exist, sending them updated photos, etc.? If so, have they answered? What did they say? (d) Have you been offered other opportunities that you had to decline? All of this, in addition to having a copy of the contract, plus all emails, text messages, and other communications will be relevant to an attorney's assessment of whether best efforts by the agency were required, and whether they were made. Did you pay them any money to obtain your listing with them? If so, and they have not performed, then you probably can demand release from the contract and maybe even a refund of your money.
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I agree with the other attorneys. It is a fact intensive analysis and unless you can simply call them and they release you, you would need an attorney to review the agreement.
My disclaimer is simply that Avvo already has an adequate disclaimer.
I would have to read the individual contract to tell you for certain. But, it sounds like the answer is "no". No guarantees or warranties were made regarding employment. You would probably have to prove they did not use reasonable efforts to find employment for you. In my own experience, most agencies will release you from your contract if you have not been employed through them because, quite frankly, you are not making any money for them and as such are not helping their bottom line. You should take your contract to an attorney in your jurisdiction. The language of the contract is binding and, unless it is grossly overreaching, will govern this situation.