The phrase "analyse carefully" is correct and usable in written English.
You can use it when instructing someone to examine or evaluate something with attention to detail.
Example: "Before making a decision, please analyse carefully the data presented in the report."
Alternatives: "examine thoroughly" or "evaluate meticulously."
"We'll analyse carefully and make a decision, but we have changed our status, it's now legal to have a football club.
Mr Graham said: "We need cool heads to analyse carefully what information the security services had access to and how they used it before necessarily concluding that we must give them access to more and more of our private information.
At a round-table on security, he said this was "a fundamental debate in which I think, first of all, you must allow a democratic plurality [of opinions]…You have to analyse carefully the pros and cons and the key arguments on both sides".
In order to examine whether implemented decisions are 'good decisions' that do indeed lead to patient benefit, it would be necessary to analyse carefully identified disease-specific health outcomes which can be plausibly and directly related to the MDT decision.
Since the next round of negotiations may result in a further reduction of bound rates, Egypt needs to analyse carefully its tariff situation, drawing upon its experience with applied tariffs over the past five years and taking into account prospective trends and instabilities in global commodity markets.
The Commission will of course analyse carefully any amendment in the context of the discussions with the European Parliament and the Council which might improve the directive.
"After analysing carefully the sporting situation the club decided to make this change in the best interests of Valencia Club de Fútbol with a view to the end of the current season".
By analysing carefully the "content" produced by its users – statements, photos, links, interactions among friends, "likes", "pokes", etc. – the social network has been able to develop spectacular predictive models.
The results suggest that the applicability of design approaches may be restricted and these approaches should be analysed carefully for every specific situation.
In addition, the supporting role of current and future FP evaluation methodologies in WP objective/target setting should be analysed carefully and methodologies developed further.
In between these two lie the Buddhists, the Jainas, the Nyāya-Vaiśeṣikas and the Sāṃkhya-Yoga philosophers, whose accounts of the empirical world need to be analysed carefully if we are accurately to place them.
