Pemetrexed Disodium/Observation in Treating Patients W/ Malignant Pleural Mesothelioma w/Out Progressive Disease After 1st Line Chemotherapy

Inclusion Criteria:

* Histologically confirmed malignant pleural mesothelioma meeting 1 of the following cell types:

  * Epithelial
  * Sarcomatoid
  * Mixed type

    * Histologically documented malignant pleural mesothelioma, epithelial, sarcomatoid or mixed type, not amenable to surgical resection
    * Prior treatment
* Currently receiving first-line treatment with pemetrexed + platinum; patients are to be registered to Cancer and Leukemia Group B (CALGB) 30901 no later than the last day of cycle 4 of first line therapy
* Prior intracavitary cytotoxic or sclerosing therapy (including bleomycin) are acceptable; prior intrapleural cytotoxic chemotherapy will not be considered systemic chemotherapy
* Prior surgical treatment is allowed
* Prior radiation therapy is allowed

  * Non-pregnant and non-nursing; women of child bearing potential and men must agree to use an appropriate method of birth control throughout their participation in this study; appropriate methods of birth control include abstinence, oral contraceptives, implantable hormonal contraceptives (Norplant), or double barrier methods (diaphragm plus condom)
  * RANDOMIZATION ELIGIBILITY CRITERIA
  * Patients with complete response, partial response, or stable disease following 4, 5 or 6 cycles of first-line chemotherapy with pemetrexed AND either cisplatin or carboplatin; a maximum of 6 cycles of chemotherapy may have been given
  * Eastern Cooperative Oncology Group (ECOG) performance status of 0-1
  * Granulocytes \>= 1,500/ul
  * Platelet count \>= 100,000/ul
  * Total bilirubin =\< 1.5 x upper limit of normal (ULN)
  * Aspartate aminotransferase (AST) (serum glutamic oxaloacetic transaminase \[SGOT\]) =\< 2 x ULN
  * Calculated creatinine clearance \>= 45 ml/min
* Disease not amenable to surgery
* Must be enrolled on imaging protocol CALGB-580903
* Complete response, partial response, or stable disease after completion of 4 courses of first-line chemotherapy comprising pemetrexed disodium AND cisplatin or carboplatin

  * Study therapy will begin within 9 weeks following day 1 of cycle 4 of first-line treatment
* No clinically significant pleural or peritoneal effusions that cannot be adequately managed by drainage before or during pemetrexed disodium

PATIENT CHARACTERISTICS:

* ECOG performance status of 0-1
* Life expectancy ≥ 12 weeks
* Granulocytes ≥ 1,500/μL
* Platelet count ≥ 100,000/μL
* Total bilirubin ≤ 1.5 times upper limit of normal (ULN)
* AST ≤ 2 times ULN
* Creatinine clearance ≥ 45 mL/min
* Not pregnant or nursing
* Negative pregnancy test
* Fertile patients must use effective contraception
* No psychiatric illness that would prevent the patient from giving informed consent
* No second malignancy except non-melanoma skin cancer or carcinoma in situ of the cervix unless curatively treated with no evidence of active disease for ≥ 5 years
* No medical conditions that, in the opinion of the treating physician, would make study treatment unreasonably hazardous for the patient including, but not limited to, the following:

  * Ongoing or active infection such as HIV positivity
  * Inability to take oral medications
  * Psychiatric illness/social situations that would limit compliance with study requirements

PRIOR CONCURRENT THERAPY:

* See Disease Characteristics
* Prior intracavitary cytotoxic or sclerosing therapy (including bleomycin) allowed

  * Prior intrapleural cytotoxic chemotherapy not considered systemic chemotherapy
* Prior surgery allowed
* Prior radiotherapy allowed

  * No concurrent palliative radiotherapy
* No concurrent hormones or other chemotherapeutic agents except for the following:

  * Steroids for adrenal failure
  * Hormones for nondisease-related conditions (e.g., insulin for diabetes)
  * Intermittent use of dexamethasone as an antiemetic or premedication for pemetrexed disodium