Legal analysis: No, if the filing of the catering business license applied by the parties has expired for three years, they cannot continue to engage in catering business activities, otherwise they will be punished as unlicensed business.

Legal basis:

Article 4 of the Measures for the Administration of Food Business License implements the principle of one place and one license, that is, a food business operator shall obtain a food business license when engaging in food business activities in a business place.

Article 45 Anyone who engages in food business activities without a food business license shall be punished by the local food and drug supervision and administration department at or above the county level in accordance with Article 122 of the Food Safety Law of the People's Republic of China.

article 122 of the food safety law of the people's Republic of China violates the provisions of this law by engaging in food production and marketing activities without obtaining a food production and marketing license, or engaging in food additive production activities without obtaining a food additive production license, the food safety supervision and administration department of the people's government at or above the county level shall confiscate the illegal income, food additives and tools, equipment, raw materials and other articles used for illegal production and marketing; If the value of food and food additives illegally produced and operated is less than 11,111 yuan, a fine of not less than 51,111 yuan but not more than 111,111 yuan shall be imposed; If the value of the goods is more than 11,111 yuan, a fine of more than 11 times and less than 21 times of the value of the goods shall be imposed.

those who knowingly engage in the illegal acts specified in the preceding paragraph, but still provide them with production and business premises or other conditions, shall be ordered by the food safety supervision and administration department of the people's government at or above the county level to stop the illegal acts, confiscate the illegal income and impose a fine of not less than 51,111 yuan but not more than 111,111 yuan; If the legitimate rights and interests of consumers are harmed, they shall be jointly and severally liable with the producers and operators of food and food additives.