they mutually affectionate start to burn

请帮忙翻译销售合同里的一句话
不知道如何能流畅地翻译下面的话,谢谢
“This contract is mutually on12/01/08 by and between the undersigned for the under-mentioned goods on the terns and conditions stated below:”

英语翻译
Complexity and value are not mutually guaranteed--personally,I much prefer watching high-quality conventional programs like The Dick Van Dyke Show and Everybody Loves Raymond to the narratively complex,but conceptually muddled and logically maddening 24.However,narrative complexity offers a range of creative opportunities and palette of audience responses that are unique to the television medium,and thus should be studied and appreciated as a key development in the history of American narrative forms.Arguably the pleasures potentially offered by complex narratives are richer and more multifaceted than conventional programming,but value judgments should be tied to individual programs rather than claiming the superiority of an entire narrational mode or genre.Thus while we should not shy away from evaluative dimensions in narrative transformations,the goal of my analysis is not to argue that contemporary television is somehow better than it was in the 1970s,but rather to explore how and why narrative strategies have changed,and to consider the broader cultural implications of this shift.

英语翻译
没有财富了,给不了悬赏分,不好意思
All these mutually reinforcing elements of the promotional mix have as their common objective as the successful sale of a product or service.

一句合同长句翻译
Whereas, the Parties mutually desire to execute this agreement which shall be binding upon and inure to the benefit of the Parties, their legal representatives, successors and assigns, in accordance with the jurisdictional law of the negotiated and fully executed contract with terms and provisions hereunder agreed upon:
主要是 in accordance with the jurisdictional law of the negotiated and fully executed contract 这部分不太明白

问下英语句子结构
请问这句：we need these mutually agreed-upon social rights and wrongs because without some structure we'd be a bunch of headless chickens running around unable to function as a group.请问running around unable to function as a group这个部分作什么成分,属于什么结构,round unable 连不起来

They become mutually absorbed,start to behave in what appears to be a flighty,even irrational manner,decide that they are right for each othet 一个句子里不是只能有一个谓语吗,为什么这句话里有 become ,start,decide三个谓语

in this day,we need to pray for heavenlylessing mutually,hope will be better next year如何翻译

（1）meet to know to need a process mutually ,can producee.the chemical reaction.
（2）love you really do not need the reason of

gre数学题
the 20 people at a party are divided into n mutually exclusive groups in such a way that the number of people in any group does not exceed the number of in any other group by more than 1
the number of n(if at least one of the groups consists of 3 people) 和6 比
n大还是6大还是没法比

英文翻译：based upon the achievement of mutually agreed performance objectives

英语翻译
· Both sides mutually recognize that verified reductions or sinks from mitigation projects under the BOCM can be used as a part of their own internationally pledged greenhouse gas mitigation efforts.
· Both sides ensure transparency and the environmental integrity of the BOCM,and that neither side will use any mitigation projects registered under the BOCM for the purpose of any other international climate mitigation mechanisms.

what kinds of determines are mutually excllusive and what are not mutually exclusive?Give one example for each.